Atkin-Lehner |
3+ 7- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114513g |
Isogeny class |
Conductor |
114513 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
199404103407537 = 3 · 78 · 193 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- -2 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16318,419978] |
[a1,a2,a3,a4,a6] |
Generators |
[-6670:136871:125] [134:3045:8] |
Generators of the group modulo torsion |
j |
4084490796625/1694906913 |
j-invariant |
L |
6.3079457580804 |
L(r)(E,1)/r! |
Ω |
0.51129422671495 |
Real period |
R |
2.0562021601775 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999957754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16359d1 |
Quadratic twists by: -7 |