Atkin-Lehner |
2- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90334s |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
18757493764 = 22 · 312 · 474 |
Discriminant |
Eigenvalues |
2- 1 -3 1 3 -1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5507,156701] |
[a1,a2,a3,a4,a6] |
Generators |
[-410:4623:8] |
Generators of the group modulo torsion |
j |
19219871634673/19518724 |
j-invariant |
L |
10.589678329052 |
L(r)(E,1)/r! |
Ω |
1.217236117167 |
Real period |
R |
2.1749433378841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90334m1 |
Quadratic twists by: -31 |