Atkin-Lehner |
2- 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5328n |
Isogeny class |
Conductor |
5328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-130940928 = -1 · 217 · 33 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 3 5 -3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-411,-3254] |
[a1,a2,a3,a4,a6] |
Generators |
[29:96:1] |
Generators of the group modulo torsion |
j |
-69426531/1184 |
j-invariant |
L |
3.8353795296942 |
L(r)(E,1)/r! |
Ω |
0.52962617065057 |
Real period |
R |
0.90520912254558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
666d1 21312bd1 5328l1 |
Quadratic twists by: -4 8 -3 |