Atkin-Lehner |
3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125715a |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3064320 |
Modular degree for the optimal curve |
Δ |
-2.3294179521594E+20 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,894359,-658504239] |
[a1,a2,a3,a4,a6] |
Generators |
[41262991:7268456120:1331] |
Generators of the group modulo torsion |
j |
3277670884573184/9650590546875 |
j-invariant |
L |
3.1747693080492 |
L(r)(E,1)/r! |
Ω |
0.090397963108691 |
Real period |
R |
8.7799803344573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998569094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7395i1 |
Quadratic twists by: 17 |