Atkin-Lehner |
2+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800r |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-347340800000000 = -1 · 224 · 58 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 4 -3 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14367,599137] |
[a1,a2,a3,a4,a6] |
j |
80062991/84800 |
j-invariant |
L |
1.4284382570589 |
L(r)(E,1)/r! |
Ω |
0.35710956690516 |
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 |
84800bz1 2650a1 16960d1 |
Quadratic twists by: -4 8 5 |