Atkin-Lehner |
3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19425b |
Isogeny class |
Conductor |
19425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
221041627734375 = 310 · 58 · 7 · 372 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -2 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18650,662625] |
[a1,a2,a3,a4,a6] |
j |
45917324980129/14146664175 |
j-invariant |
L |
1.0373795372657 |
L(r)(E,1)/r! |
Ω |
0.51868976863284 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58275l2 3885g2 |
Quadratic twists by: -3 5 |