Atkin-Lehner |
3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
2115d |
Isogeny class |
Conductor |
2115 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-564274721597625 = -1 · 39 · 53 · 475 |
Discriminant |
Eigenvalues |
1 3- 5+ -5 -6 3 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1080,-1142699] |
[a1,a2,a3,a4,a6] |
j |
-191202526081/774039398625 |
j-invariant |
L |
0.94045022902185 |
L(r)(E,1)/r! |
Ω |
0.23511255725546 |
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 |
33840cb1 705b1 10575p1 103635bo1 |
Quadratic twists by: -4 -3 5 -7 |