Atkin-Lehner |
2+ 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51646f |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-59024973896 = -1 · 23 · 77 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ 3 1 7- -6 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,971,797] |
[a1,a2,a3,a4,a6] |
j |
860085351/501704 |
j-invariant |
L |
2.687003669916 |
L(r)(E,1)/r! |
Ω |
0.67175091735957 |
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 |
7378g1 |
Quadratic twists by: -7 |