Atkin-Lehner |
2+ 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
19698b |
Isogeny class |
Conductor |
19698 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
76050195984 = 24 · 32 · 76 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4386,-112860] |
[a1,a2,a3,a4,a6] |
j |
79340706073/646416 |
j-invariant |
L |
1.1738508141329 |
L(r)(E,1)/r! |
Ω |
0.58692540706646 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59094bs2 402b2 |
Quadratic twists by: -3 -7 |