Atkin-Lehner |
2+ 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99710f |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3993600 |
Modular degree for the optimal curve |
Δ |
-205018058918133760 = -1 · 216 · 5 · 139 · 59 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 -5 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6933228,-7029622192] |
[a1,a2,a3,a4,a6] |
j |
-3475682410168333/19333120 |
j-invariant |
L |
0.1860781275192 |
L(r)(E,1)/r! |
Ω |
0.046519553251795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99710bd1 |
Quadratic twists by: 13 |