Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200du |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
420 |
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 |
[3650:169400:1] [-2984:71564:1] |
Generators of the group modulo torsion |
j |
-8142048846461520/132632423693 |
j-invariant |
L |
7.5477053680768 |
L(r)(E,1)/r! |
Ω |
0.15862930570048 |
Real period |
R |
0.11328756041738 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000007423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200ha1 7700k1 123200bg1 |
Quadratic twists by: -4 8 5 |