Atkin-Lehner |
2+ 3- 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650bc |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
1870140879000 = 23 · 314 · 53 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-83186,9227468] |
[a1,a2,a3,a4,a6] |
Generators |
[168:-116:1] [-1674:34283:8] |
Generators of the group modulo torsion |
j |
509280349689156941/14961127032 |
j-invariant |
L |
8.0184937478316 |
L(r)(E,1)/r! |
Ω |
0.77594965318233 |
Real period |
R |
1.476254422097 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58650bv2 |
Quadratic twists by: 5 |