Atkin-Lehner |
2+ 3- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482x |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
6967296 |
Modular degree for the optimal curve |
Δ |
-9.4219480643068E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 3 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8313856,-9344949106] |
[a1,a2,a3,a4,a6] |
j |
-26469087591384905049625/392417661986955072 |
j-invariant |
L |
2.1319520201851 |
L(r)(E,1)/r! |
Ω |
0.044415667952716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
118482f1 |
Quadratic twists by: -7 |