Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600cc |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-116718750000 = -1 · 24 · 32 · 510 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 3 0 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-18588] |
[a1,a2,a3,a4,a6] |
Generators |
[394:1917:8] |
Generators of the group modulo torsion |
j |
-409600/747 |
j-invariant |
L |
4.2449914329009 |
L(r)(E,1)/r! |
Ω |
0.41889066550265 |
Real period |
R |
5.0669443913005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24900l1 99600de1 |
Quadratic twists by: -4 5 |