Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200fv |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-453869568000000000 = -1 · 224 · 36 · 59 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36033,-32508063] |
[a1,a2,a3,a4,a6] |
Generators |
[3427476633:-60305523200:6751269] |
Generators of the group modulo torsion |
j |
-1263214441/110808000 |
j-invariant |
L |
6.475767149282 |
L(r)(E,1)/r! |
Ω |
0.13106543935163 |
Real period |
R |
12.352163901756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913122 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200cy1 22800cu1 18240cn1 |
Quadratic twists by: -4 8 5 |