Atkin-Lehner |
5- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129115x |
Isogeny class |
Conductor |
129115 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
14597830860235 = 5 · 78 · 17 · 313 |
Discriminant |
Eigenvalues |
1 -1 5- 7- -6 -3 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35452,-2577511] |
[a1,a2,a3,a4,a6] |
j |
41886766402489/124079515 |
j-invariant |
L |
0.69597830502581 |
L(r)(E,1)/r! |
Ω |
0.3479886740213 |
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 |
18445a1 |
Quadratic twists by: -7 |