Atkin-Lehner |
3+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83391d |
Isogeny class |
Conductor |
83391 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
30270933 = 32 · 7 · 113 · 192 |
Discriminant |
Eigenvalues |
0 3+ 2 7+ 11- 1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1127,-14191] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:1:1] |
Generators of the group modulo torsion |
j |
438908059648/83853 |
j-invariant |
L |
5.101733342241 |
L(r)(E,1)/r! |
Ω |
0.82393214429395 |
Real period |
R |
1.0319889761855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83391o1 |
Quadratic twists by: -19 |