Atkin-Lehner |
2- 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88920bt |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-18514005634800 = -1 · 24 · 38 · 52 · 135 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 6 13- -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45327,-3720121] |
[a1,a2,a3,a4,a6] |
Generators |
[433:-7605:1] |
Generators of the group modulo torsion |
j |
-882972400647424/1587277575 |
j-invariant |
L |
6.4964511803109 |
L(r)(E,1)/r! |
Ω |
0.16358125116743 |
Real period |
R |
0.99284776444051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988798 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29640d1 |
Quadratic twists by: -3 |