Atkin-Lehner |
2- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
78736bc |
Isogeny class |
Conductor |
78736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-56679841792 = -1 · 214 · 7 · 192 · 372 |
Discriminant |
Eigenvalues |
2- 2 2 7- -4 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,448,-11008] |
[a1,a2,a3,a4,a6] |
Generators |
[1632:13040:27] |
Generators of the group modulo torsion |
j |
2422300607/13837852 |
j-invariant |
L |
10.707885834774 |
L(r)(E,1)/r! |
Ω |
0.55891944702066 |
Real period |
R |
4.7895478901945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9842h1 |
Quadratic twists by: -4 |