Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200ig |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
58482000000000 = 210 · 34 · 59 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-338133,-75791637] |
[a1,a2,a3,a4,a6] |
j |
267219216891904/3655125 |
j-invariant |
L |
3.1677280247688 |
L(r)(E,1)/r! |
Ω |
0.19798300633789 |
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 |
91200e1 22800bt1 18240cf1 |
Quadratic twists by: -4 8 5 |