Atkin-Lehner |
2- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116380f |
Isogeny class |
Conductor |
116380 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-1.2462512342382E+19 |
Discriminant |
Eigenvalues |
2- -1 5- -2 11+ -3 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-331330,185143025] |
[a1,a2,a3,a4,a6] |
Generators |
[-745:4235:1] [560:13225:1] |
Generators of the group modulo torsion |
j |
-1698323056384/5261609375 |
j-invariant |
L |
9.2973347202769 |
L(r)(E,1)/r! |
Ω |
0.19777196403497 |
Real period |
R |
0.32646095604541 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5060c1 |
Quadratic twists by: -23 |