Atkin-Lehner |
2+ 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608ba |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
1575388017227464704 = 222 · 314 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ -2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-291329,-4143009] |
[a1,a2,a3,a4,a6] |
j |
10431251950649473/6009628361616 |
j-invariant |
L |
3.1331980610357 |
L(r)(E,1)/r! |
Ω |
0.22379980457065 |
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 |
124608cp1 3894l1 |
Quadratic twists by: -4 8 |