Atkin-Lehner |
3- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24633d |
Isogeny class |
Conductor |
24633 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
2.3733739468015E+26 |
Discriminant |
Eigenvalues |
1 3- 2 7+ -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-177186546,-524096991873] |
[a1,a2,a3,a4,a6] |
Generators |
[-2025581613315067699188910882521968056:121541230673875787737758966807947371393:592948677656233599488380447433216] |
Generators of the group modulo torsion |
j |
843894996618837776475806497/325565699149719757349649 |
j-invariant |
L |
6.3019377904478 |
L(r)(E,1)/r! |
Ω |
0.042755447708152 |
Real period |
R |
49.131655560906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8211g1 |
Quadratic twists by: -3 |