Atkin-Lehner |
2- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
45760br |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1126400 |
Modular degree for the optimal curve |
Δ |
-1884068909465600000 = -1 · 217 · 55 · 115 · 134 |
Discriminant |
Eigenvalues |
2- 1 5- 5 11+ 13- -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3039745,-2041958657] |
[a1,a2,a3,a4,a6] |
j |
-23698747132646144258/14374305034375 |
j-invariant |
L |
4.5733500793699 |
L(r)(E,1)/r! |
Ω |
0.057166875990564 |
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 |
45760x1 11440c1 |
Quadratic twists by: -4 8 |