Atkin-Lehner |
2- 3+ 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040br |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
8436480 |
Modular degree for the optimal curve |
Δ |
-3.7346082816E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -3 -1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10660440,-26176256400] |
[a1,a2,a3,a4,a6] |
j |
32710645463537765084759/91176960000000000000 |
j-invariant |
L |
1.2735235898046 |
L(r)(E,1)/r! |
Ω |
0.048981673467927 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11130u1 |
Quadratic twists by: -4 |