Atkin-Lehner |
2- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
79376n |
Isogeny class |
Conductor |
79376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-223522816 = -1 · 212 · 113 · 41 |
Discriminant |
Eigenvalues |
2- -2 -3 -3 11+ -2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,48,724] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:16:1] [-4:22:1] |
Generators of the group modulo torsion |
j |
2197/41 |
j-invariant |
L |
5.1509269087253 |
L(r)(E,1)/r! |
Ω |
1.3198913045009 |
Real period |
R |
0.48781733875376 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997644 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4961a1 79376p1 |
Quadratic twists by: -4 -11 |