Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
114576ce |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-7.2668022272003E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11+ -5 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-175845,411060051] |
[a1,a2,a3,a4,a6] |
Generators |
[1590:64449:1] |
Generators of the group modulo torsion |
j |
-146810225600966656/17741216375000811 |
j-invariant |
L |
9.8212167013833 |
L(r)(E,1)/r! |
Ω |
0.15935366562989 |
Real period |
R |
0.228265076472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7161c1 |
Quadratic twists by: -4 |