Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810c |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
12891389952 |
Modular degree for the optimal curve |
Δ |
3.1040687621418E+39 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45868639566435,119539871172731755925] |
[a1,a2,a3,a4,a6] |
j |
542225574979683118447492258739279714171043/157703031150828584960000000000000000 |
j-invariant |
L |
0.14061812005154 |
L(r)(E,1)/r! |
Ω |
0.0043943270555278 |
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 |
117810cr1 |
Quadratic twists by: -3 |