Atkin-Lehner |
2+ 3- 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830o |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1637376 |
Modular degree for the optimal curve |
Δ |
-76337230381056000 = -1 · 226 · 38 · 53 · 19 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 6 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41220,-13667504] |
[a1,a2,a3,a4,a6] |
j |
-10624929881440321/104714993664000 |
j-invariant |
L |
1.1672653726148 |
L(r)(E,1)/r! |
Ω |
0.14590818670456 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610y1 |
Quadratic twists by: -3 |