Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800gd |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
71442000000000 = 210 · 36 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72000,7425000] |
[a1,a2,a3,a4,a6] |
Generators |
[25:2375:1] |
Generators of the group modulo torsion |
j |
28311552/49 |
j-invariant |
L |
7.1997616874156 |
L(r)(E,1)/r! |
Ω |
0.61540488010038 |
Real period |
R |
2.9248068696285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005186 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800pe1 6300s1 11200bb1 100800hk1 |
Quadratic twists by: -4 8 -3 5 |