Atkin-Lehner |
2+ 3+ 7- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32718b |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6044789868218615808 = -1 · 211 · 310 · 72 · 192 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,373520,79353088] |
[a1,a2,a3,a4,a6] |
j |
5763197173753254800375/6044789868218615808 |
j-invariant |
L |
1.2651710465185 |
L(r)(E,1)/r! |
Ω |
0.15814638081438 |
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 |
98154cb2 |
Quadratic twists by: -3 |