Atkin-Lehner |
3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19425n |
Isogeny class |
Conductor |
19425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
12140625 = 3 · 56 · 7 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-103601,12826223] |
[a1,a2,a3,a4,a6] |
j |
7870267657034497/777 |
j-invariant |
L |
2.5366130726436 |
L(r)(E,1)/r! |
Ω |
1.2683065363218 |
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 |
58275d4 777d4 |
Quadratic twists by: -3 5 |