Atkin-Lehner |
2- 7- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124558bc |
Isogeny class |
Conductor |
124558 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
292800 |
Modular degree for the optimal curve |
Δ |
-10911105297778 = -1 · 2 · 72 · 312 · 415 |
Discriminant |
Eigenvalues |
2- 2 0 7- -6 -1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4472,-107717] |
[a1,a2,a3,a4,a6] |
j |
201849160307375/222675618322 |
j-invariant |
L |
3.1082393739694 |
L(r)(E,1)/r! |
Ω |
0.38853008520153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124558q1 |
Quadratic twists by: -7 |