Atkin-Lehner |
2+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27830b |
Isogeny class |
Conductor |
27830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-204366533187829760 = -1 · 215 · 5 · 119 · 232 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 11- 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,76106,20199496] |
[a1,a2,a3,a4,a6] |
j |
27518990257871/115359580160 |
j-invariant |
L |
1.8117401412949 |
L(r)(E,1)/r! |
Ω |
0.22646751766188 |
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 |
2530h1 |
Quadratic twists by: -11 |