Atkin-Lehner |
2+ 3+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440r |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
109564565760 = 28 · 34 · 5 · 134 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5220,-142560] |
[a1,a2,a3,a4,a6] |
j |
61458003996496/427986585 |
j-invariant |
L |
2.2475912597755 |
L(r)(E,1)/r! |
Ω |
0.56189771224903 |
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 |
57720bc1 |
Quadratic twists by: -4 |