Atkin-Lehner |
2- 7+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23828b |
Isogeny class |
Conductor |
23828 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25056 |
Modular degree for the optimal curve |
Δ |
-59270625008 = -1 · 24 · 76 · 23 · 372 |
Discriminant |
Eigenvalues |
2- 3 0 7+ 0 -1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,935,4013] |
[a1,a2,a3,a4,a6] |
Generators |
[804:6517:27] |
Generators of the group modulo torsion |
j |
5649871392000/3704414063 |
j-invariant |
L |
8.9885491634522 |
L(r)(E,1)/r! |
Ω |
0.69562104665214 |
Real period |
R |
3.230404401474 |
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 |
95312t1 |
Quadratic twists by: -4 |