Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
32775w |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
301320000 |
Modular degree for the optimal curve |
Δ |
-7.7264121500775E+30 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 -4 5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-843399436883,-298125089586979231] |
[a1,a2,a3,a4,a6] |
Generators |
[1173459696011241681442674653284266466473856949476011827122728290993535775809585607469:-3894408195242847872974636517058566623406871303899901061548782540390826279433116840210289:105788629048930259840552347825485338379043495490636791469200036535758826904953] |
Generators of the group modulo torsion |
j |
-4246230898683241696460167381830762496/494490377604961395263671875 |
j-invariant |
L |
5.9336123744708 |
L(r)(E,1)/r! |
Ω |
0.0024909283144137 |
Real period |
R |
119.10443869733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325x1 6555e1 |
Quadratic twists by: -3 5 |