Atkin-Lehner |
2+ 7+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
39928a |
Isogeny class |
Conductor |
39928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29696 |
Modular degree for the optimal curve |
Δ |
35775488 = 210 · 72 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 0 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11648,-480004] |
[a1,a2,a3,a4,a6] |
Generators |
[-4284741075192:18487048753:69122916864] |
Generators of the group modulo torsion |
j |
170692769834500/34937 |
j-invariant |
L |
8.1244560395004 |
L(r)(E,1)/r! |
Ω |
0.45955089101786 |
Real period |
R |
17.679121503834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79856b1 |
Quadratic twists by: -4 |