Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
67626p |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1762560 |
Modular degree for the optimal curve |
Δ |
1827788634363534336 = 210 · 39 · 13 · 178 |
Discriminant |
Eigenvalues |
2+ 3- -1 5 2 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-457830,100044724] |
[a1,a2,a3,a4,a6] |
Generators |
[-516:14354:1] |
Generators of the group modulo torsion |
j |
2086979041/359424 |
j-invariant |
L |
5.2197017948406 |
L(r)(E,1)/r! |
Ω |
0.25185171311877 |
Real period |
R |
5.1813244883584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000712 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22542v1 67626g1 |
Quadratic twists by: -3 17 |