Atkin-Lehner |
2+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344n |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
688144973824 = 216 · 73 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3 -3 7+ 11+ -1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2764,-39184] |
[a1,a2,a3,a4,a6] |
j |
35633452068/10500259 |
j-invariant |
L |
1.3467026096821 |
L(r)(E,1)/r! |
Ω |
0.67335193659784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344ej1 14168c1 |
Quadratic twists by: -4 8 |