Atkin-Lehner |
2+ 3- 7+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118818f |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
66048 |
Modular degree for the optimal curve |
Δ |
-4648516614 = -1 · 2 · 37 · 72 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -2 -3 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-630,7074] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:114:1] [-3:96:1] |
Generators of the group modulo torsion |
j |
-37966934881/6376566 |
j-invariant |
L |
7.7636919626212 |
L(r)(E,1)/r! |
Ω |
1.3231820498689 |
Real period |
R |
0.73343006378157 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39606s1 |
Quadratic twists by: -3 |