Atkin-Lehner |
5+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
114155c |
Isogeny class |
Conductor |
114155 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-29794811734375 = -1 · 56 · 176 · 79 |
Discriminant |
Eigenvalues |
-1 -2 5+ -2 -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11566,-547029] |
[a1,a2,a3,a4,a6] |
j |
-7088952961/1234375 |
j-invariant |
L |
0.22801709520015 |
L(r)(E,1)/r! |
Ω |
0.2280168314047 |
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 |
395b1 |
Quadratic twists by: 17 |