Atkin-Lehner |
2+ 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446y |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
6767166749687156736 = 212 · 38 · 78 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-949450,-333445444] |
[a1,a2,a3,a4,a6] |
Generators |
[-611:4625:1] |
Generators of the group modulo torsion |
j |
804546427968299017/57519968292864 |
j-invariant |
L |
5.6850906954522 |
L(r)(E,1)/r! |
Ω |
0.15363320674316 |
Real period |
R |
2.3127693289968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998525 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8778f2 |
Quadratic twists by: -7 |