Atkin-Lehner |
2+ 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080a |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
1043470985040 = 24 · 35 · 5 · 11 · 474 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5191,137050] |
[a1,a2,a3,a4,a6] |
j |
967031178041344/65216936565 |
j-invariant |
L |
0.85866181092874 |
L(r)(E,1)/r! |
Ω |
0.85866181929435 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62040i1 |
Quadratic twists by: -4 |