Atkin-Lehner |
3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
58989h |
Isogeny class |
Conductor |
58989 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
251856 |
Modular degree for the optimal curve |
Δ |
1307453498638581 = 3 · 7 · 538 |
Discriminant |
Eigenvalues |
0 3+ -1 7- -2 -6 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-99251,11941865] |
[a1,a2,a3,a4,a6] |
Generators |
[205:410:1] |
Generators of the group modulo torsion |
j |
1736704/21 |
j-invariant |
L |
2.4040532362355 |
L(r)(E,1)/r! |
Ω |
0.48469202485761 |
Real period |
R |
4.9599603729104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58989q1 |
Quadratic twists by: 53 |