Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800l |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-746718750000 = -1 · 24 · 34 · 510 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1383,-46512] |
[a1,a2,a3,a4,a6] |
Generators |
[11274:423225:8] |
Generators of the group modulo torsion |
j |
-1171019776/2986875 |
j-invariant |
L |
8.6659305876435 |
L(r)(E,1)/r! |
Ω |
0.36428570875423 |
Real period |
R |
5.947207356454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35400i1 14160d1 |
Quadratic twists by: -4 5 |