Atkin-Lehner |
2+ 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
62658h |
Isogeny class |
Conductor |
62658 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1585920 |
Modular degree for the optimal curve |
Δ |
-3.468076204039E+19 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 0 -1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-423594,302661256] |
[a1,a2,a3,a4,a6] |
Generators |
[-870:3916:1] |
Generators of the group modulo torsion |
j |
-78529/324 |
j-invariant |
L |
3.1106088497526 |
L(r)(E,1)/r! |
Ω |
0.18014480222135 |
Real period |
R |
1.4389391252651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20886i1 62658u1 |
Quadratic twists by: -3 -59 |