Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
10200s |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
82620000000000 = 211 · 35 · 510 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 1 0 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45208,-3688912] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:156:1] |
Generators of the group modulo torsion |
j |
510915650/4131 |
j-invariant |
L |
5.7042887282757 |
L(r)(E,1)/r! |
Ω |
0.32757195006419 |
Real period |
R |
3.4827699546056 |
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 |
20400g1 81600y1 30600cb1 10200be1 |
Quadratic twists by: -4 8 -3 5 |