Atkin-Lehner |
2- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
8848c |
Isogeny class |
Conductor |
8848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-64944603136 = -1 · 224 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,949,-4870] |
[a1,a2,a3,a4,a6] |
Generators |
[7:46:1] |
Generators of the group modulo torsion |
j |
23076099423/15855616 |
j-invariant |
L |
3.5085345802486 |
L(r)(E,1)/r! |
Ω |
0.62429903413111 |
Real period |
R |
2.8099791833987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1106e1 35392n1 79632v1 61936r1 |
Quadratic twists by: -4 8 -3 -7 |