Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7770bb |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
106264928700 = 22 · 34 · 52 · 7 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3990,95400] |
[a1,a2,a3,a4,a6] |
Generators |
[60:240:1] |
Generators of the group modulo torsion |
j |
7025046480113761/106264928700 |
j-invariant |
L |
7.3537569755078 |
L(r)(E,1)/r! |
Ω |
1.0609992541396 |
Real period |
R |
1.7327432010005 |
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 |
62160bu4 23310i4 38850i4 54390bn4 |
Quadratic twists by: -4 -3 5 -7 |