Atkin-Lehner |
2+ 3+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650q |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
236160 |
Modular degree for the optimal curve |
Δ |
11149914843750 = 2 · 3 · 58 · 17 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 5 -3 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7200,-174750] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:118:1] |
Generators of the group modulo torsion |
j |
105695235625/28543782 |
j-invariant |
L |
4.0739554355361 |
L(r)(E,1)/r! |
Ω |
0.52875144128365 |
Real period |
R |
1.9262148135094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58650cd1 |
Quadratic twists by: 5 |