Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040bo |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
131681894400 = 214 · 38 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3387,73834] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:378:1] |
Generators of the group modulo torsion |
j |
1439069689/44100 |
j-invariant |
L |
4.0622252856564 |
L(r)(E,1)/r! |
Ω |
1.0347854724243 |
Real period |
R |
0.9814172584341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
630j2 20160ee2 1680r2 25200ea2 |
Quadratic twists by: -4 8 -3 5 |