Atkin-Lehner |
2- 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446cf |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-548447129463618 = -1 · 2 · 32 · 78 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11- 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,18570,-558699] |
[a1,a2,a3,a4,a6] |
j |
6019628941871/4661723682 |
j-invariant |
L |
2.3146658088192 |
L(r)(E,1)/r! |
Ω |
0.28933322777817 |
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 |
8778y2 |
Quadratic twists by: -7 |