Atkin-Lehner |
2- 5- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
61360p |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12165120 |
Modular degree for the optimal curve |
Δ |
-7.4722572095827E+23 |
Discriminant |
Eigenvalues |
2- 2 5- 3 5 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23995720,-61445998608] |
[a1,a2,a3,a4,a6] |
j |
-373048363475306556254281/182428154530826813440 |
j-invariant |
L |
6.5327370285838 |
L(r)(E,1)/r! |
Ω |
0.033330290957224 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7670c1 |
Quadratic twists by: -4 |