Atkin-Lehner |
2- 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
114798ba |
Isogeny class |
Conductor |
114798 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
472848481814270976 = 210 · 33 · 199 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -4 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-228701,26011569] |
[a1,a2,a3,a4,a6] |
Generators |
[1930:81343:1] |
Generators of the group modulo torsion |
j |
28119423707929/10050794496 |
j-invariant |
L |
9.6267700588471 |
L(r)(E,1)/r! |
Ω |
0.27095800268431 |
Real period |
R |
0.29607202311811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999736908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6042a1 |
Quadratic twists by: -19 |