Atkin-Lehner |
5+ 7+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129115c |
Isogeny class |
Conductor |
129115 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-1828397515 = -1 · 5 · 74 · 173 · 31 |
Discriminant |
Eigenvalues |
0 -2 5+ 7+ 1 1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1241,16545] |
[a1,a2,a3,a4,a6] |
Generators |
[17:25:1] [-5:150:1] |
Generators of the group modulo torsion |
j |
-88104239104/761515 |
j-invariant |
L |
6.3382577558492 |
L(r)(E,1)/r! |
Ω |
1.4924942741498 |
Real period |
R |
0.47186168469252 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999881686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129115t1 |
Quadratic twists by: -7 |