Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
2550v |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
12393000000 = 26 · 36 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6388,193781] |
[a1,a2,a3,a4,a6] |
Generators |
[41:33:1] |
Generators of the group modulo torsion |
j |
1845026709625/793152 |
j-invariant |
L |
3.8538315556177 |
L(r)(E,1)/r! |
Ω |
1.2459661389616 |
Real period |
R |
0.51550779686913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20400dk1 81600dw1 7650p1 102c1 |
Quadratic twists by: -4 8 -3 5 |