Atkin-Lehner |
2+ 3+ 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482p |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
582220548 = 22 · 34 · 73 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-305,1569] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:23:1] [-7:62:1] |
Generators of the group modulo torsion |
j |
9195007375/1697436 |
j-invariant |
L |
7.7339650025809 |
L(r)(E,1)/r! |
Ω |
1.5534954664255 |
Real period |
R |
1.2446069478918 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118482ba1 |
Quadratic twists by: -7 |