Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200cz |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
21053520000000 = 210 · 36 · 57 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-122133,16386363] |
[a1,a2,a3,a4,a6] |
Generators |
[222:-513:1] [-177:5700:1] |
Generators of the group modulo torsion |
j |
12592337649664/1315845 |
j-invariant |
L |
12.481651114937 |
L(r)(E,1)/r! |
Ω |
0.6533395707895 |
Real period |
R |
0.79601606836737 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200fw1 5700f1 18240n1 |
Quadratic twists by: -4 8 5 |