Atkin-Lehner |
2- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
82400m |
Isogeny class |
Conductor |
82400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2575000000 = -1 · 26 · 58 · 103 |
Discriminant |
Eigenvalues |
2- 0 5- 3 2 -3 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-125,2500] |
[a1,a2,a3,a4,a6] |
Generators |
[0:50:1] |
Generators of the group modulo torsion |
j |
-8640/103 |
j-invariant |
L |
6.7689878171671 |
L(r)(E,1)/r! |
Ω |
1.2262893069401 |
Real period |
R |
0.91998244606914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82400i1 82400d1 |
Quadratic twists by: -4 5 |