Atkin-Lehner |
2- 7- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
120176r |
Isogeny class |
Conductor |
120176 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2239488 |
Modular degree for the optimal curve |
Δ |
-1.2126079174564E+19 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 0 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-444144,202458580] |
[a1,a2,a3,a4,a6] |
Generators |
[-702:12992:1] [-238:17168:1] |
Generators of the group modulo torsion |
j |
-2365571834263226737/2960468548477468 |
j-invariant |
L |
7.635151941389 |
L(r)(E,1)/r! |
Ω |
0.20388676217829 |
Real period |
R |
1.0402222863454 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15022b1 |
Quadratic twists by: -4 |