Atkin-Lehner |
2+ 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
49840a |
Isogeny class |
Conductor |
49840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-170404156160 = -1 · 28 · 5 · 75 · 892 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -3 -1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1961,39541] |
[a1,a2,a3,a4,a6] |
Generators |
[20:89:1] |
Generators of the group modulo torsion |
j |
-3259402353664/665641235 |
j-invariant |
L |
2.6726595947918 |
L(r)(E,1)/r! |
Ω |
0.97483672244186 |
Real period |
R |
1.3708242279153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24920f1 |
Quadratic twists by: -4 |