Atkin-Lehner |
5- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3335b |
Isogeny class |
Conductor |
3335 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
608 |
Modular degree for the optimal curve |
Δ |
-10421875 = -1 · 56 · 23 · 29 |
Discriminant |
Eigenvalues |
0 -2 5- 2 0 5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,25,156] |
[a1,a2,a3,a4,a6] |
j |
1659797504/10421875 |
j-invariant |
L |
1.1036008848162 |
L(r)(E,1)/r! |
Ω |
1.6554013272243 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
53360p1 30015g1 16675b1 76705c1 |
Quadratic twists by: -4 -3 5 -23 |