Atkin-Lehner |
2- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
7742j |
Isogeny class |
Conductor |
7742 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1865397366784 = -1 · 212 · 78 · 79 |
Discriminant |
Eigenvalues |
2- 0 2 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2906,-26827] |
[a1,a2,a3,a4,a6] |
Generators |
[41:379:1] |
Generators of the group modulo torsion |
j |
23076099423/15855616 |
j-invariant |
L |
6.6418991493054 |
L(r)(E,1)/r! |
Ω |
0.47192571087107 |
Real period |
R |
2.3456725625473 |
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 |
61936r1 69678j1 1106e1 |
Quadratic twists by: -4 -3 -7 |