Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290cm |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
17521920 |
Modular degree for the optimal curve |
Δ |
2.0540565206563E+24 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11- -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-438434851,-3532868714495] |
[a1,a2,a3,a4,a6] |
Generators |
[-12042:30361:1] |
Generators of the group modulo torsion |
j |
2191243533026687730409/482907687116800 |
j-invariant |
L |
9.690184631244 |
L(r)(E,1)/r! |
Ω |
0.032993548795619 |
Real period |
R |
5.6480648870069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290el1 5390b1 |
Quadratic twists by: -7 -11 |