Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290k |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
896761250 = 2 · 54 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- -6 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1535,23491] |
[a1,a2,a3,a4,a6] |
Generators |
[3:136:1] |
Generators of the group modulo torsion |
j |
557752041/1250 |
j-invariant |
L |
2.2899700269638 |
L(r)(E,1)/r! |
Ω |
1.5791019079943 |
Real period |
R |
0.24169540244413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290be1 59290cu1 |
Quadratic twists by: -7 -11 |