Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368v |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
306415591303248 = 24 · 37 · 710 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20874,-798847] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:441:1] [4368:6517:27] |
Generators of the group modulo torsion |
j |
733001728/223293 |
j-invariant |
L |
12.853036712234 |
L(r)(E,1)/r! |
Ω |
0.40659401554335 |
Real period |
R |
7.9028688444513 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000873 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456v1 15624m1 |
Quadratic twists by: -3 -7 |