Atkin-Lehner |
2+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33488i |
Isogeny class |
Conductor |
33488 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-107122486016 = -1 · 28 · 72 · 135 · 23 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 5 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1097,-20699] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1183:1] |
Generators of the group modulo torsion |
j |
-570820369408/418447211 |
j-invariant |
L |
3.4778160524854 |
L(r)(E,1)/r! |
Ω |
0.40187025684888 |
Real period |
R |
0.86540767653613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16744e1 |
Quadratic twists by: -4 |