Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
123900bg |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-356832000 = -1 · 28 · 33 · 53 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-813,8703] |
[a1,a2,a3,a4,a6] |
Generators |
[18:15:1] |
Generators of the group modulo torsion |
j |
-1859428352/11151 |
j-invariant |
L |
9.4564189285854 |
L(r)(E,1)/r! |
Ω |
1.7108636128428 |
Real period |
R |
0.92121301627718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999505419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123900p1 |
Quadratic twists by: 5 |