Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2550bb |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
826200 = 23 · 35 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -1 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43,-103] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:5:1] |
Generators of the group modulo torsion |
j |
352224985/33048 |
j-invariant |
L |
4.8353106686678 |
L(r)(E,1)/r! |
Ω |
1.8753592467872 |
Real period |
R |
0.17188922342751 |
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 |
20400cb1 81600r1 7650bb1 2550g1 |
Quadratic twists by: -4 8 -3 5 |