Atkin-Lehner |
2- 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410bx |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-22773526160 = -1 · 24 · 5 · 73 · 112 · 193 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,174,7279] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-225:1] |
Generators of the group modulo torsion |
j |
1697936057/66395120 |
j-invariant |
L |
8.2985593173239 |
L(r)(E,1)/r! |
Ω |
0.91053324014247 |
Real period |
R |
0.18987407039578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102410cm1 |
Quadratic twists by: -7 |