Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650z |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2470316332176000000 = 210 · 312 · 56 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1297017,-563171859] |
[a1,a2,a3,a4,a6] |
Generators |
[-702:1359:1] |
Generators of the group modulo torsion |
j |
21184262604460873/216872764416 |
j-invariant |
L |
4.1273764670575 |
L(r)(E,1)/r! |
Ω |
0.14155709175928 |
Real period |
R |
1.8223108852063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11550cl2 1386g2 |
Quadratic twists by: -3 5 |