Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
31200i |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-30705480000000000 = -1 · 212 · 310 · 510 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -3 13- 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-490833,132789537] |
[a1,a2,a3,a4,a6] |
j |
-326938350400/767637 |
j-invariant |
L |
1.4883818453891 |
L(r)(E,1)/r! |
Ω |
0.37209546134634 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31200cf1 62400cn1 93600el1 31200ch1 |
Quadratic twists by: -4 8 -3 5 |