Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200bg |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-1829583811982131200 = -1 · 228 · 315 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 3 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,305407,3766017] |
[a1,a2,a3,a4,a6] |
j |
480705753733655/279172334592 |
j-invariant |
L |
2.5429913782955 |
L(r)(E,1)/r! |
Ω |
0.1589369677391 |
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 |
91200hq1 2850w1 91200eq2 |
Quadratic twists by: -4 8 5 |