Atkin-Lehner |
3+ 5+ 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115275f |
Isogeny class |
Conductor |
115275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
31340390625 = 32 · 57 · 292 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 -4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1000,-9125] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:25:1] [-138:533:8] |
Generators of the group modulo torsion |
j |
7088952961/2005785 |
j-invariant |
L |
10.458915625505 |
L(r)(E,1)/r! |
Ω |
0.86710151491209 |
Real period |
R |
6.0309637590397 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23055j1 |
Quadratic twists by: 5 |