Atkin-Lehner |
2- 3+ 11+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28842k |
Isogeny class |
Conductor |
28842 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
362496 |
Modular degree for the optimal curve |
Δ |
21211626717152784 = 24 · 34 · 11 · 19 · 238 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11+ -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-373474,-87725089] |
[a1,a2,a3,a4,a6] |
Generators |
[819334:261795573:8] |
Generators of the group modulo torsion |
j |
5761093239663320959777/21211626717152784 |
j-invariant |
L |
7.019165804706 |
L(r)(E,1)/r! |
Ω |
0.19316597069254 |
Real period |
R |
9.0843715634032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86526k1 |
Quadratic twists by: -3 |