Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200ha |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12902400 |
Modular degree for the optimal curve |
Δ |
-8.488475116352E+20 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 11+ -6 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7781500,-8471710000] |
[a1,a2,a3,a4,a6] |
Generators |
[2255465793368933520053859600:64383350553651954575490911900:623859355443613623999777] |
Generators of the group modulo torsion |
j |
-8142048846461520/132632423693 |
j-invariant |
L |
11.446221191339 |
L(r)(E,1)/r! |
Ω |
0.045152683309179 |
Real period |
R |
42.250058957229 |
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 |
123200du1 30800cp1 123200ga1 |
Quadratic twists by: -4 8 5 |