Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
3550o |
Isogeny class |
Conductor |
3550 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
148897792000000 = 227 · 56 · 71 |
Discriminant |
Eigenvalues |
2- -3 5+ 3 -6 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65655,6464847] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:3230:1] |
Generators of the group modulo torsion |
j |
2003092024307193/9529458688 |
j-invariant |
L |
3.4149638704359 |
L(r)(E,1)/r! |
Ω |
0.5817601276094 |
Real period |
R |
0.10870471982088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28400o1 113600bl1 31950r1 142e1 |
Quadratic twists by: -4 8 -3 5 |