Atkin-Lehner |
2- 7- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120176ba |
Isogeny class |
Conductor |
120176 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1866395244022349824 = 214 · 76 · 294 · 372 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-371131,57033450] |
[a1,a2,a3,a4,a6] |
Generators |
[-275:11760:1] |
Generators of the group modulo torsion |
j |
1380210921416909457/455662901372644 |
j-invariant |
L |
6.8574368543351 |
L(r)(E,1)/r! |
Ω |
0.24305495537863 |
Real period |
R |
2.3511270151581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901275 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15022i2 |
Quadratic twists by: -4 |