Atkin-Lehner |
3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935b |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
11176704 |
Modular degree for the optimal curve |
Δ |
-7.3881104683094E+23 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43874723,-119276722242] |
[a1,a2,a3,a4,a6] |
j |
-7558595228569/597871125 |
j-invariant |
L |
2.1022455230973 |
L(r)(E,1)/r! |
Ω |
0.029197852448982 |
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 |
88935ch1 88935c1 |
Quadratic twists by: -7 -11 |