Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400dx |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
10665725625000000 = 26 · 310 · 510 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69825,5074000] |
[a1,a2,a3,a4,a6] |
Generators |
[-244:2754:1] [-1:2268:1] |
Generators of the group modulo torsion |
j |
51645087424/14630625 |
j-invariant |
L |
10.2928897415 |
L(r)(E,1)/r! |
Ω |
0.37744224824426 |
Real period |
R |
6.8175262501985 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000139 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122400dt1 40800y1 24480h1 |
Quadratic twists by: -4 -3 5 |