Atkin-Lehner |
2+ 7+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
100646a |
Isogeny class |
Conductor |
100646 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
689472 |
Modular degree for the optimal curve |
Δ |
960687841440782 = 2 · 78 · 132 · 793 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ -1 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-113412,14615276] |
[a1,a2,a3,a4,a6] |
Generators |
[218:404:1] |
Generators of the group modulo torsion |
j |
27984072349177/166647182 |
j-invariant |
L |
2.1609023746727 |
L(r)(E,1)/r! |
Ω |
0.49815208984995 |
Real period |
R |
0.72297276831971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100646e1 |
Quadratic twists by: -7 |