Atkin-Lehner |
2+ 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
73408r |
Isogeny class |
Conductor |
73408 |
Conductor |
∏ cp |
6 |
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 |
[21:124:1] |
Generators of the group modulo torsion |
j |
817036976/1102267 |
j-invariant |
L |
2.4681421752267 |
L(r)(E,1)/r! |
Ω |
0.65364782759681 |
Real period |
R |
0.62932516850758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73408bc1 9176a1 |
Quadratic twists by: -4 8 |