Atkin-Lehner |
3- 7- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
84357i |
Isogeny class |
Conductor |
84357 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
1291421313 = 39 · 72 · 13 · 103 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-332159,73765910] |
[a1,a2,a3,a4,a6] |
j |
5559465392050902697/1771497 |
j-invariant |
L |
1.8214784671199 |
L(r)(E,1)/r! |
Ω |
0.91073925981358 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28119e1 |
Quadratic twists by: -3 |