Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950cg |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
14192640 |
Modular degree for the optimal curve |
Δ |
-9.672944505125E+22 |
Discriminant |
Eigenvalues |
2- 1 5+ -5 11- -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10738813,-20184570383] |
[a1,a2,a3,a4,a6] |
Generators |
[13662:1536919:1] |
Generators of the group modulo torsion |
j |
-40891312173481/28880000000 |
j-invariant |
L |
8.5899583614702 |
L(r)(E,1)/r! |
Ω |
0.040439932185384 |
Real period |
R |
2.6551597307901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22990n1 114950bb1 |
Quadratic twists by: 5 -11 |