Atkin-Lehner |
2- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64900f |
Isogeny class |
Conductor |
64900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
63706651250000 = 24 · 57 · 114 · 592 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-610533,-183819812] |
[a1,a2,a3,a4,a6] |
Generators |
[-451:11:1] |
Generators of the group modulo torsion |
j |
100672729554878464/254826605 |
j-invariant |
L |
2.8433441178022 |
L(r)(E,1)/r! |
Ω |
0.17079386855578 |
Real period |
R |
1.3873176192995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12980d1 |
Quadratic twists by: 5 |