Atkin-Lehner |
2- 3- 5+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84870z |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
610560 |
Modular degree for the optimal curve |
Δ |
-4363913556000 = -1 · 25 · 37 · 53 · 233 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 4 4 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-236048,-44082669] |
[a1,a2,a3,a4,a6] |
j |
-1995241338374763961/5986164000 |
j-invariant |
L |
6.4978666203422 |
L(r)(E,1)/r! |
Ω |
0.10829777730896 |
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 |
28290a1 |
Quadratic twists by: -3 |