Atkin-Lehner |
2- 7- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68306y |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-1102754195144 = -1 · 23 · 76 · 17 · 413 |
Discriminant |
Eigenvalues |
2- -1 3 7- -3 7 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3039,80653] |
[a1,a2,a3,a4,a6] |
j |
-26383748833/9373256 |
j-invariant |
L |
4.9236698997103 |
L(r)(E,1)/r! |
Ω |
0.82061165022842 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1394g1 |
Quadratic twists by: -7 |