Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
3600v |
Isogeny class |
Conductor |
3600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
364500000000 = 28 · 36 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6375,193750] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:500:1] |
Generators of the group modulo torsion |
j |
78608 |
j-invariant |
L |
3.3283208838799 |
L(r)(E,1)/r! |
Ω |
0.95846404214115 |
Real period |
R |
1.736278429624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1800w2 14400ex2 400f2 3600s2 |
Quadratic twists by: -4 8 -3 5 |