Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230el |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-4102025136536250 = -1 · 2 · 37 · 54 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15223,2991651] |
[a1,a2,a3,a4,a6] |
Generators |
[-482:11127:8] |
Generators of the group modulo torsion |
j |
2496791/26250 |
j-invariant |
L |
10.078441721826 |
L(r)(E,1)/r! |
Ω |
0.32303008505517 |
Real period |
R |
1.2999874969948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410e1 76230cm1 |
Quadratic twists by: -3 -11 |