Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17400bg |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
130500000000 = 28 · 32 · 59 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10708,-422588] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:18:1] |
Generators of the group modulo torsion |
j |
271593488/261 |
j-invariant |
L |
4.8076133321301 |
L(r)(E,1)/r! |
Ω |
0.46934710218089 |
Real period |
R |
2.5607984526754 |
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 |
34800bl1 52200bd1 17400p1 |
Quadratic twists by: -4 -3 5 |