Atkin-Lehner |
3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9633n |
Isogeny class |
Conductor |
9633 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-6032040909126976341 = -1 · 311 · 1311 · 19 |
Discriminant |
Eigenvalues |
-1 3- -3 -5 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-883282,-340743079] |
[a1,a2,a3,a4,a6] |
Generators |
[5357:382895:1] |
Generators of the group modulo torsion |
j |
-15789259762088617/1249695380349 |
j-invariant |
L |
1.7586532062089 |
L(r)(E,1)/r! |
Ω |
0.077513700081329 |
Real period |
R |
0.51564292516375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28899l1 741c1 |
Quadratic twists by: -3 13 |