Atkin-Lehner |
2+ 11- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
76912d |
Isogeny class |
Conductor |
76912 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
958381976811776 = 28 · 113 · 19 · 236 |
Discriminant |
Eigenvalues |
2+ 2 2 0 11- 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24652,-24960] |
[a1,a2,a3,a4,a6] |
Generators |
[-459165:3004012:3375] |
Generators of the group modulo torsion |
j |
6472288102375888/3743679596921 |
j-invariant |
L |
11.490548262055 |
L(r)(E,1)/r! |
Ω |
0.41729660962489 |
Real period |
R |
9.1785618815717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989722 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38456a1 |
Quadratic twists by: -4 |