Atkin-Lehner |
2- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84800bp |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
21708800 = 214 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 -3 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-373,-2643] |
[a1,a2,a3,a4,a6] |
j |
14049280/53 |
j-invariant |
L |
4.3454413209955 |
L(r)(E,1)/r! |
Ω |
1.0863603320076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800i1 21200s1 84800cq1 |
Quadratic twists by: -4 8 5 |