Atkin-Lehner |
2- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
73408bc |
Isogeny class |
Conductor |
73408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-18059542528 = -1 · 214 · 313 · 37 |
Discriminant |
Eigenvalues |
2- 2 -4 -1 4 -3 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,495,4721] |
[a1,a2,a3,a4,a6] |
Generators |
[47:360:1] |
Generators of the group modulo torsion |
j |
817036976/1102267 |
j-invariant |
L |
5.6945057777861 |
L(r)(E,1)/r! |
Ω |
0.8274920682089 |
Real period |
R |
3.4408219713528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981726 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73408r1 18352a1 |
Quadratic twists by: -4 8 |