Atkin-Lehner |
2+ 3- 5+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34770h |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
17837010000000000 = 210 · 34 · 510 · 192 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-322009,-70064068] |
[a1,a2,a3,a4,a6] |
j |
3692545062070025825929/17837010000000000 |
j-invariant |
L |
1.6037953875611 |
L(r)(E,1)/r! |
Ω |
0.20047442344298 |
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 |
104310ca2 |
Quadratic twists by: -3 |