Atkin-Lehner |
2- 7- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
100646n |
Isogeny class |
Conductor |
100646 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
5227200 |
Modular degree for the optimal curve |
Δ |
-41819163416576 = -1 · 211 · 76 · 133 · 79 |
Discriminant |
Eigenvalues |
2- 0 -3 7- -5 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56846649,-164955955111] |
[a1,a2,a3,a4,a6] |
Generators |
[12403:1012556:1] |
Generators of the group modulo torsion |
j |
-172683193545007865807697/355457024 |
j-invariant |
L |
6.2436758540867 |
L(r)(E,1)/r! |
Ω |
0.027491177529224 |
Real period |
R |
6.8822915602938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999744598 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2054f1 |
Quadratic twists by: -7 |