Atkin-Lehner |
2- 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320cl |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-193290240000 = -1 · 216 · 3 · 54 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1040,17108] |
[a1,a2,a3,a4,a6] |
j |
30342134159/47190000 |
j-invariant |
L |
5.4843166424284 |
L(r)(E,1)/r! |
Ω |
0.68553958030367 |
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 |
4290v1 102960dk1 |
Quadratic twists by: -4 -3 |