Atkin-Lehner |
2- 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
58100s |
Isogeny class |
Conductor |
58100 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
-8580378668750000 = -1 · 24 · 58 · 74 · 833 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 0 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44833,5748088] |
[a1,a2,a3,a4,a6] |
Generators |
[-216:2324:1] |
Generators of the group modulo torsion |
j |
-1594581729280/1372860587 |
j-invariant |
L |
6.9037905009111 |
L(r)(E,1)/r! |
Ω |
0.37781815753512 |
Real period |
R |
1.5227322022408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
58100a1 |
Quadratic twists by: 5 |