Atkin-Lehner |
5+ 7- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
24115a |
Isogeny class |
Conductor |
24115 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
2228753515625 = 58 · 72 · 133 · 53 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-119075,15845000] |
[a1,a2,a3,a4,a6] |
j |
186718579292055611529/2228753515625 |
j-invariant |
L |
2.2387105482427 |
L(r)(E,1)/r! |
Ω |
0.74623684941425 |
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 |
120575b1 |
Quadratic twists by: 5 |