Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
74420d |
Isogeny class |
Conductor |
74420 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
4121629948880 = 24 · 5 · 616 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4961,90820] |
[a1,a2,a3,a4,a6] |
j |
16384/5 |
j-invariant |
L |
0.72324836445422 |
L(r)(E,1)/r! |
Ω |
0.72324836187295 |
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 |
20a2 |
Quadratic twists by: 61 |