Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
78120c |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
219698438400 = 28 · 36 · 52 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3303,69498] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:360:1] |
Generators of the group modulo torsion |
j |
21354132816/1177225 |
j-invariant |
L |
6.5333401438905 |
L(r)(E,1)/r! |
Ω |
0.98192618565818 |
Real period |
R |
1.6633990006607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8680n2 |
Quadratic twists by: -3 |