Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312be |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-7.3533389460458E+23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2906218,41302279504] |
[a1,a2,a3,a4,a6] |
j |
-23942656868248000/6485575209206247 |
j-invariant |
L |
0.88013044979822 |
L(r)(E,1)/r! |
Ω |
0.073344205752376 |
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 |
81312r1 7392a1 |
Quadratic twists by: -4 -11 |