Atkin-Lehner |
2- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
42848l |
Isogeny class |
Conductor |
42848 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
7273190912 = 29 · 13 · 1033 |
Discriminant |
Eigenvalues |
2- 2 -2 -3 -5 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-824,8408] |
[a1,a2,a3,a4,a6] |
Generators |
[74:309:8] [241:3708:1] |
Generators of the group modulo torsion |
j |
120993582536/14205451 |
j-invariant |
L |
10.22973046422 |
L(r)(E,1)/r! |
Ω |
1.2796244713955 |
Real period |
R |
2.6647741044066 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42848e1 85696s1 |
Quadratic twists by: -4 8 |