Atkin-Lehner |
3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69825i |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3386421683859375 = 36 · 56 · 77 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -2 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-58825,-4748750] |
[a1,a2,a3,a4,a6] |
j |
12246522625/1842183 |
j-invariant |
L |
1.238584572367 |
L(r)(E,1)/r! |
Ω |
0.30964614378277 |
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 |
2793i2 9975k2 |
Quadratic twists by: 5 -7 |