Atkin-Lehner |
2+ 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39480j |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-225642412800 = -1 · 28 · 37 · 52 · 73 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 -6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1321,28955] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:210:1] [-41:126:1] |
Generators of the group modulo torsion |
j |
-996600085504/881415675 |
j-invariant |
L |
9.8898433580533 |
L(r)(E,1)/r! |
Ω |
0.90900773857889 |
Real period |
R |
0.064760851561663 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78960a1 118440ck1 |
Quadratic twists by: -4 -3 |