Atkin-Lehner |
2+ 5+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040h |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2059904000 = -1 · 210 · 53 · 7 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11+ 2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-736,8240] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-22:1] |
Generators of the group modulo torsion |
j |
-43116861316/2011625 |
j-invariant |
L |
5.1596853709195 |
L(r)(E,1)/r! |
Ω |
1.4556259546777 |
Real period |
R |
0.88616264793944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999404871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58520j1 |
Quadratic twists by: -4 |