Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805r |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23721984 |
Modular degree for the optimal curve |
Δ |
-8.0852761460662E+23 |
Discriminant |
Eigenvalues |
-2 2 5+ 7- -2 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-141558076,-649656051934] |
[a1,a2,a3,a4,a6] |
j |
-110470393399988224/284716796875 |
j-invariant |
L |
0.087524340447932 |
L(r)(E,1)/r! |
Ω |
0.021881084660396 |
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 |
10115n1 4165l1 |
Quadratic twists by: -7 17 |