Atkin-Lehner |
3+ 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
110715c |
Isogeny class |
Conductor |
110715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
-15887208465315 = -1 · 35 · 5 · 118 · 61 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 11- -6 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-21941,-1258258] |
[a1,a2,a3,a4,a6] |
j |
-659411697664/8967915 |
j-invariant |
L |
0.78390318710184 |
L(r)(E,1)/r! |
Ω |
0.19597579554492 |
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 |
10065c1 |
Quadratic twists by: -11 |