Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880bg |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
489595040000000000 = 214 · 510 · 115 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 11+ -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65283505,-203005008975] |
[a1,a2,a3,a4,a6] |
Generators |
[-594001697997240:-6295181048675:127339444791] |
Generators of the group modulo torsion |
j |
1878080350940467212547024/29882509765625 |
j-invariant |
L |
10.191473470369 |
L(r)(E,1)/r! |
Ω |
0.053112737823421 |
Real period |
R |
19.188379074489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999723 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880dm2 8360d2 |
Quadratic twists by: -4 8 |