Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720bb |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1730382393600 = 28 · 38 · 52 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3540,49500] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:360:1] |
Generators of the group modulo torsion |
j |
19169739408976/6759306225 |
j-invariant |
L |
7.5353746692473 |
L(r)(E,1)/r! |
Ω |
0.76982960419633 |
Real period |
R |
1.2235458710851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24360t2 |
Quadratic twists by: -4 |