Atkin-Lehner |
2- 3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310bd |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-305943750000 = -1 · 24 · 33 · 58 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17498,-886903] |
[a1,a2,a3,a4,a6] |
Generators |
[201:1819:1] |
Generators of the group modulo torsion |
j |
-21943298749909347/11331250000 |
j-invariant |
L |
7.2757213981632 |
L(r)(E,1)/r! |
Ω |
0.20754436362961 |
Real period |
R |
4.3820278174042 |
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 |
23310d1 116550g1 |
Quadratic twists by: -3 5 |