Atkin-Lehner |
2+ 3+ 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050h |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1133568 |
Modular degree for the optimal curve |
Δ |
647156250000 = 24 · 33 · 59 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1348275,602020125] |
[a1,a2,a3,a4,a6] |
Generators |
[1154:23601:1] |
Generators of the group modulo torsion |
j |
17347609394908926769/41418000 |
j-invariant |
L |
3.4657144014268 |
L(r)(E,1)/r! |
Ω |
0.5967239531803 |
Real period |
R |
5.8079022975069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999502945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23010p1 |
Quadratic twists by: 5 |