Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4046c |
Isogeny class |
Conductor |
4046 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-50002229337088 = -1 · 210 · 7 · 178 |
Discriminant |
Eigenvalues |
2+ -2 -4 7+ 4 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9097,-64038] |
[a1,a2,a3,a4,a6] |
Generators |
[39:572:1] |
Generators of the group modulo torsion |
j |
3449795831/2071552 |
j-invariant |
L |
1.1135791218968 |
L(r)(E,1)/r! |
Ω |
0.36912503983033 |
Real period |
R |
3.0168073192992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32368bc1 129472j1 36414cp1 101150ck1 |
Quadratic twists by: -4 8 -3 5 |