Atkin-Lehner |
2- 3- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
114798w |
Isogeny class |
Conductor |
114798 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
3256457416704 = 212 · 37 · 193 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -2 2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3817,-26791] |
[a1,a2,a3,a4,a6] |
Generators |
[68:137:1] [-22:-205:1] |
Generators of the group modulo torsion |
j |
896677970707/474771456 |
j-invariant |
L |
16.946611769213 |
L(r)(E,1)/r! |
Ω |
0.64481146800607 |
Real period |
R |
0.15643749241447 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999967774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114798a1 |
Quadratic twists by: -19 |