Atkin-Lehner |
2+ 7- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
113386c |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-4094758621226 = -1 · 2 · 76 · 133 · 892 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 0 13+ 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,317,97360] |
[a1,a2,a3,a4,a6] |
j |
30080231/34804874 |
j-invariant |
L |
1.2213274308546 |
L(r)(E,1)/r! |
Ω |
0.61066373283898 |
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 |
2314b1 |
Quadratic twists by: -7 |