Atkin-Lehner |
3- 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
112677n |
Isogeny class |
Conductor |
112677 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1912128 |
Modular degree for the optimal curve |
Δ |
-1879479387252041481 = -1 · 32 · 2310 · 712 |
Discriminant |
Eigenvalues |
1 3- -3 -4 -2 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,134090,63205037] |
[a1,a2,a3,a4,a6] |
j |
6436343/45369 |
j-invariant |
L |
0.76656936978259 |
L(r)(E,1)/r! |
Ω |
0.19164222353507 |
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 |
112677m1 |
Quadratic twists by: -23 |