Atkin-Lehner |
2- 7- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
85358t |
Isogeny class |
Conductor |
85358 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-85830541888 = -1 · 26 · 73 · 13 · 673 |
Discriminant |
Eigenvalues |
2- 2 -4 7- -2 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-715,-16199] |
[a1,a2,a3,a4,a6] |
j |
-117865222327/250234816 |
j-invariant |
L |
5.1932389656536 |
L(r)(E,1)/r! |
Ω |
0.43276990896858 |
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 |
85358p1 |
Quadratic twists by: -7 |