Atkin-Lehner |
2+ 7- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
103334k |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76160 |
Modular degree for the optimal curve |
Δ |
193652876032 = 28 · 7 · 116 · 61 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 11- 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1575,-12107] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:113:1] |
Generators of the group modulo torsion |
j |
244140625/109312 |
j-invariant |
L |
3.6746628179825 |
L(r)(E,1)/r! |
Ω |
0.79010435213826 |
Real period |
R |
2.3254287869062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
854c1 |
Quadratic twists by: -11 |