Atkin-Lehner |
2- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
34790bb |
Isogeny class |
Conductor |
34790 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
102816 |
Modular degree for the optimal curve |
Δ |
27371369267200 = 217 · 52 · 76 · 71 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -2 1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20385,-1093303] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:203:1] |
Generators of the group modulo torsion |
j |
7962857630209/232652800 |
j-invariant |
L |
10.896679705463 |
L(r)(E,1)/r! |
Ω |
0.40026496993512 |
Real period |
R |
0.80069604798132 |
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 |
710b1 |
Quadratic twists by: -7 |