Atkin-Lehner |
2- 3- 5+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
102510u |
Isogeny class |
Conductor |
102510 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-4085851268250000 = -1 · 24 · 315 · 56 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 3 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3037,-3075469] |
[a1,a2,a3,a4,a6] |
Generators |
[2025:90112:1] |
Generators of the group modulo torsion |
j |
4250740728599/5604734250000 |
j-invariant |
L |
7.5357605280522 |
L(r)(E,1)/r! |
Ω |
0.20436089271279 |
Real period |
R |
1.1523365041428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34170l1 |
Quadratic twists by: -3 |