Atkin-Lehner |
2- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39100d |
Isogeny class |
Conductor |
39100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-22482500000000 = -1 · 28 · 510 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 -4 5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2708,233588] |
[a1,a2,a3,a4,a6] |
Generators |
[407:8168:1] |
Generators of the group modulo torsion |
j |
-878800/8993 |
j-invariant |
L |
7.0362951721547 |
L(r)(E,1)/r! |
Ω |
0.57755613282526 |
Real period |
R |
6.0914383661161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39100l1 |
Quadratic twists by: 5 |