Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230ca |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-222286680 = -1 · 23 · 38 · 5 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- -6 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,126,-500] |
[a1,a2,a3,a4,a6] |
j |
2496791/2520 |
j-invariant |
L |
1.9244214402296 |
L(r)(E,1)/r! |
Ω |
0.96221072289636 |
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 |
25410bn1 76230ff1 |
Quadratic twists by: -3 -11 |