Atkin-Lehner |
3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
114975f |
Isogeny class |
Conductor |
114975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
428544 |
Modular degree for the optimal curve |
Δ |
1434052634765625 = 39 · 59 · 7 · 732 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 2 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28730,-432728] |
[a1,a2,a3,a4,a6] |
j |
8527173507/4662875 |
j-invariant |
L |
1.5666480549202 |
L(r)(E,1)/r! |
Ω |
0.39166208629845 |
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 |
114975d1 22995c1 |
Quadratic twists by: -3 5 |