Atkin-Lehner |
3- 5- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70965i |
Isogeny class |
Conductor |
70965 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
13467648 |
Modular degree for the optimal curve |
Δ |
-9281041098046875 = -1 · 37 · 58 · 19 · 833 |
Discriminant |
Eigenvalues |
-2 3- 5- -5 6 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-69627117,-223622620920] |
[a1,a2,a3,a4,a6] |
j |
-51207246403107142559002624/12731194921875 |
j-invariant |
L |
0.83622842128063 |
L(r)(E,1)/r! |
Ω |
0.026132138769062 |
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 |
23655c1 |
Quadratic twists by: -3 |