Atkin-Lehner |
2- 3- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118482cx |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
35136 |
Modular degree for the optimal curve |
Δ |
-2132676 = -1 · 22 · 33 · 72 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -5 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13,69] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:7:1] |
Generators of the group modulo torsion |
j |
4934783/43524 |
j-invariant |
L |
8.8329279288641 |
L(r)(E,1)/r! |
Ω |
1.9090306989479 |
Real period |
R |
0.77115294776584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118482bw1 |
Quadratic twists by: -7 |