Atkin-Lehner |
2- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
79376r |
Isogeny class |
Conductor |
79376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-12783584176 = -1 · 24 · 117 · 41 |
Discriminant |
Eigenvalues |
2- 2 1 3 11- -6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-645,-8116] |
[a1,a2,a3,a4,a6] |
Generators |
[9051448:79794234:103823] |
Generators of the group modulo torsion |
j |
-1048576/451 |
j-invariant |
L |
11.438525812712 |
L(r)(E,1)/r! |
Ω |
0.46389216525489 |
Real period |
R |
12.328862897947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19844c1 7216f1 |
Quadratic twists by: -4 -11 |