Atkin-Lehner |
3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125715g |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3433288012312158225 = 34 · 52 · 1710 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-377151,377148] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:4919:1] |
Generators of the group modulo torsion |
j |
245796699240721/142238351025 |
j-invariant |
L |
2.7388543807822 |
L(r)(E,1)/r! |
Ω |
0.21178133456053 |
Real period |
R |
6.4662317864896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999493995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7395m2 |
Quadratic twists by: 17 |