Atkin-Lehner |
5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
45325h |
Isogeny class |
Conductor |
45325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8001994163078125 = 56 · 712 · 37 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 4 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-232980,43127522] |
[a1,a2,a3,a4,a6] |
Generators |
[10516:189485:64] |
Generators of the group modulo torsion |
j |
760798453689/4353013 |
j-invariant |
L |
4.0565683732199 |
L(r)(E,1)/r! |
Ω |
0.41748272427806 |
Real period |
R |
4.858366750663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1813a2 6475a2 |
Quadratic twists by: 5 -7 |