Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
102672cl |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
31476868533190656 = 220 · 310 · 232 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-215859,37645810] |
[a1,a2,a3,a4,a6] |
Generators |
[-5370:230230:27] |
Generators of the group modulo torsion |
j |
372517533040177/10541539584 |
j-invariant |
L |
10.333663600075 |
L(r)(E,1)/r! |
Ω |
0.3690602405451 |
Real period |
R |
6.9999843214169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000985 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12834c2 34224bh2 |
Quadratic twists by: -4 -3 |