Atkin-Lehner |
2- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60236d |
Isogeny class |
Conductor |
60236 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
2650384 = 24 · 112 · 372 |
Discriminant |
Eigenvalues |
2- -3 1 -1 11+ -1 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37,37] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:11:1] [-3:11:1] |
Generators of the group modulo torsion |
j |
255744/121 |
j-invariant |
L |
6.6098708855995 |
L(r)(E,1)/r! |
Ω |
2.2846785908067 |
Real period |
R |
0.48218823953318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60236e1 |
Quadratic twists by: 37 |