Atkin-Lehner |
5+ 7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
117845f |
Isogeny class |
Conductor |
117845 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-23289590816025625 = -1 · 54 · 76 · 132 · 374 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9227,-7336794] |
[a1,a2,a3,a4,a6] |
Generators |
[262:3476:1] |
Generators of the group modulo torsion |
j |
738518126319/197958255625 |
j-invariant |
L |
2.8622884595531 |
L(r)(E,1)/r! |
Ω |
0.17857091250884 |
Real period |
R |
2.0036077166102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999770617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2405d4 |
Quadratic twists by: -7 |