Atkin-Lehner |
2+ 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710h |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128000 |
Modular degree for the optimal curve |
Δ |
3.5066454881476E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-123937398,530941818708] |
[a1,a2,a3,a4,a6] |
Generators |
[13958765742547:-218162488682836:1939096223] |
Generators of the group modulo torsion |
j |
118843307222596927933249/19794099600000000 |
j-invariant |
L |
3.7447664694689 |
L(r)(E,1)/r! |
Ω |
0.11239975480691 |
Real period |
R |
16.658250169062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610z1 |
Quadratic twists by: -11 |