Atkin-Lehner |
2+ 3- 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
70434j |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-1277954496 = -1 · 26 · 36 · 72 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63,-1715] |
[a1,a2,a3,a4,a6] |
j |
-38272753/1753024 |
j-invariant |
L |
1.3398793179604 |
L(r)(E,1)/r! |
Ω |
0.66993966237033 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7826k1 |
Quadratic twists by: -3 |