Atkin-Lehner |
5- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3335b |
Isogeny class |
Conductor |
3335 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-7418524075 = -1 · 52 · 233 · 293 |
Discriminant |
Eigenvalues |
0 -2 5- 2 0 5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-225,-4419] |
[a1,a2,a3,a4,a6] |
j |
-1265319018496/7418524075 |
j-invariant |
L |
1.1036008848162 |
L(r)(E,1)/r! |
Ω |
0.55180044240811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53360p2 30015g2 16675b2 76705c2 |
Quadratic twists by: -4 -3 5 -23 |