Atkin-Lehner |
2- 3+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7410n |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3576738376434600 = 23 · 34 · 52 · 13 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1125915,-460299903] |
[a1,a2,a3,a4,a6] |
j |
157848533499513033318961/3576738376434600 |
j-invariant |
L |
3.5175071069101 |
L(r)(E,1)/r! |
Ω |
0.14656279612126 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59280cg6 22230l6 37050v6 96330d6 |
Quadratic twists by: -4 -3 5 13 |