Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41400k |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-65496093750000 = -1 · 24 · 36 · 512 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42075,-3344625] |
[a1,a2,a3,a4,a6] |
Generators |
[1531955:18286325:4913] |
Generators of the group modulo torsion |
j |
-45198971136/359375 |
j-invariant |
L |
6.51390717929 |
L(r)(E,1)/r! |
Ω |
0.16659324181684 |
Real period |
R |
9.7751672100337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800t1 4600j1 8280u1 |
Quadratic twists by: -4 -3 5 |