Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240ge |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
251841623040 = 210 · 310 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2381,38445] |
[a1,a2,a3,a4,a6] |
j |
1458425767936/245939085 |
j-invariant |
L |
1.8804964121849 |
L(r)(E,1)/r! |
Ω |
0.94024800829177 |
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 |
114240db1 28560bv1 |
Quadratic twists by: -4 8 |