Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240iq |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
524288 |
Modular degree for the optimal curve |
Δ |
49132339200 = 218 · 32 · 52 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-249921,-48173121] |
[a1,a2,a3,a4,a6] |
j |
6585576176607121/187425 |
j-invariant |
L |
1.7082007722677 |
L(r)(E,1)/r! |
Ω |
0.21352499635617 |
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 |
114240bh1 28560cv1 |
Quadratic twists by: -4 8 |