Atkin-Lehner |
2- 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810dk |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4896 |
Modular degree for the optimal curve |
Δ |
135240 = 23 · 3 · 5 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 3 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15,-15] |
[a1,a2,a3,a4,a6] |
j |
7649089/2760 |
j-invariant |
L |
7.4937535069843 |
L(r)(E,1)/r! |
Ω |
2.4979178356621 |
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 |
101430bf1 33810bw1 |
Quadratic twists by: -3 -7 |