Atkin-Lehner |
7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
42679c |
Isogeny class |
Conductor |
42679 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-225131596963 = -1 · 76 · 134 · 67 |
Discriminant |
Eigenvalues |
2 -2 -2 7- 0 13- 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2074,-43627] |
[a1,a2,a3,a4,a6] |
j |
-8390176768/1913587 |
j-invariant |
L |
2.7958000157717 |
L(r)(E,1)/r! |
Ω |
0.34947500198726 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
871a1 |
Quadratic twists by: -7 |