Atkin-Lehner |
2- 5- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350ca |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
171111125281250000 = 24 · 59 · 72 · 112 · 314 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-495138,-132823969] |
[a1,a2,a3,a4,a6] |
Generators |
[-441:313:1] |
Generators of the group modulo torsion |
j |
6873413985082637/87608896144 |
j-invariant |
L |
14.951694826576 |
L(r)(E,1)/r! |
Ω |
0.18011622274566 |
Real period |
R |
2.5941053781975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025798 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119350ba2 |
Quadratic twists by: 5 |