Atkin-Lehner |
2+ 3+ 7+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42126c |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1298084718336 = -1 · 28 · 3 · 73 · 174 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-276,-54960] |
[a1,a2,a3,a4,a6] |
j |
-2338337977417/1298084718336 |
j-invariant |
L |
0.7726053283217 |
L(r)(E,1)/r! |
Ω |
0.38630266414313 |
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 |
126378bd1 |
Quadratic twists by: -3 |