Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200fs |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
33657930000000000 = 210 · 311 · 510 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -4 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-190833,-30785463] |
[a1,a2,a3,a4,a6] |
Generators |
[-14453894306692208:17950616386505909:49970222021537] |
Generators of the group modulo torsion |
j |
76857529600/3365793 |
j-invariant |
L |
6.0839619156396 |
L(r)(E,1)/r! |
Ω |
0.22903937476322 |
Real period |
R |
26.562951989933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200cs1 22800v1 91200jc1 |
Quadratic twists by: -4 8 5 |