Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400z |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
1185080625000000 = 26 · 38 · 510 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-191325,-32168500] |
[a1,a2,a3,a4,a6] |
Generators |
[3004:162792:1] |
Generators of the group modulo torsion |
j |
1062456969664/1625625 |
j-invariant |
L |
5.0893201366787 |
L(r)(E,1)/r! |
Ω |
0.22829506980775 |
Real period |
R |
5.573182290351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999539636 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122400dl1 40800bf1 24480bb1 |
Quadratic twists by: -4 -3 5 |