Atkin-Lehner |
2+ 3+ 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482q |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2408448 |
Modular degree for the optimal curve |
Δ |
4516040531939069952 = 212 · 37 · 79 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-430000,36222208] |
[a1,a2,a3,a4,a6] |
j |
217895517859375/111911694336 |
j-invariant |
L |
0.43187747784856 |
L(r)(E,1)/r! |
Ω |
0.21593844029099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118482bd1 |
Quadratic twists by: -7 |