Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
59290bn |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6209280 |
Modular degree for the optimal curve |
Δ |
2.1313979556614E+21 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- 11+ -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3395464,931305920] |
[a1,a2,a3,a4,a6] |
Generators |
[20796985035:13433410175140:480048687] |
Generators of the group modulo torsion |
j |
6499899/3200 |
j-invariant |
L |
8.9960152394089 |
L(r)(E,1)/r! |
Ω |
0.13013042893988 |
Real period |
R |
17.28268959208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290b1 59290ea1 |
Quadratic twists by: -7 -11 |