Atkin-Lehner |
2+ 3+ 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8970c |
Isogeny class |
Conductor |
8970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-12316931250000 = -1 · 24 · 3 · 58 · 134 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3688,-143664] |
[a1,a2,a3,a4,a6] |
Generators |
[37:194:1] |
Generators of the group modulo torsion |
j |
5545139013530999/12316931250000 |
j-invariant |
L |
3.0200838638115 |
L(r)(E,1)/r! |
Ω |
0.36962616565204 |
Real period |
R |
2.0426610346185 |
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 |
71760cd3 26910bf3 44850bu3 116610bl3 |
Quadratic twists by: -4 -3 5 13 |