Atkin-Lehner |
2- 3- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
114708j |
Isogeny class |
Conductor |
114708 |
Conductor |
∏ cp |
99 |
Product of Tamagawa factors cp |
deg |
215424 |
Modular degree for the optimal curve |
Δ |
3278322062928 = 24 · 311 · 114 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8873,306744] |
[a1,a2,a3,a4,a6] |
Generators |
[205:2673:1] [-92:594:1] |
Generators of the group modulo torsion |
j |
329832448000/13994613 |
j-invariant |
L |
12.839779748442 |
L(r)(E,1)/r! |
Ω |
0.78770040376668 |
Real period |
R |
0.16464983933192 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114708l1 |
Quadratic twists by: -11 |