Atkin-Lehner |
2+ 7+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
79618i |
Isogeny class |
Conductor |
79618 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1472640 |
Modular degree for the optimal curve |
Δ |
-106351207156547584 = -1 · 226 · 72 · 114 · 472 |
Discriminant |
Eigenvalues |
2+ 2 3 7+ 11- -1 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-708941,-230584867] |
[a1,a2,a3,a4,a6] |
Generators |
[30469891518:5382411504929:970299] |
Generators of the group modulo torsion |
j |
-2691436942590436777/7263930548224 |
j-invariant |
L |
8.6395815167732 |
L(r)(E,1)/r! |
Ω |
0.082252053353853 |
Real period |
R |
13.129735314335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79618bg1 |
Quadratic twists by: -11 |