Atkin-Lehner |
2+ 3+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
97128a |
Isogeny class |
Conductor |
97128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
11072592 = 24 · 33 · 192 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -4 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90,-287] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] [68:555:1] |
Generators of the group modulo torsion |
j |
186624000/25631 |
j-invariant |
L |
10.931338472285 |
L(r)(E,1)/r! |
Ω |
1.5641453118457 |
Real period |
R |
3.4943487635727 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999353 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97128h1 |
Quadratic twists by: -3 |