Atkin-Lehner |
2+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600bo |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5428224 |
Modular degree for the optimal curve |
Δ |
-1.773644196998E+21 |
Discriminant |
Eigenvalues |
2+ 1 5- -4 -5 4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1460833,-2137659137] |
[a1,a2,a3,a4,a6] |
j |
-2104290928515625/10825465069568 |
j-invariant |
L |
0.74280936271806 |
L(r)(E,1)/r! |
Ω |
0.061900877171729 |
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 |
113600cv1 3550h1 113600h1 |
Quadratic twists by: -4 8 5 |