Atkin-Lehner |
2+ 3+ 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050l |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
5177250000000 = 27 · 33 · 59 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -1 13- 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7000,-200000] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:185:1] |
Generators of the group modulo torsion |
j |
2428257525121/331344000 |
j-invariant |
L |
2.6636924443765 |
L(r)(E,1)/r! |
Ω |
0.52665599541863 |
Real period |
R |
2.5288731660104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23010s1 |
Quadratic twists by: 5 |