Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2352d |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
448168463834112 = 210 · 312 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19224,-116640] |
[a1,a2,a3,a4,a6] |
j |
6522128932/3720087 |
j-invariant |
L |
0.87744804069414 |
L(r)(E,1)/r! |
Ω |
0.43872402034707 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1176e4 9408cv3 7056w4 58800cw3 |
Quadratic twists by: -4 8 -3 5 |