Atkin-Lehner |
3- 7+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
39627c |
Isogeny class |
Conductor |
39627 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-54566379 = -1 · 36 · 7 · 172 · 37 |
Discriminant |
Eigenvalues |
0 3- -1 7+ 3 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-48,-378] |
[a1,a2,a3,a4,a6] |
Generators |
[38:229:1] |
Generators of the group modulo torsion |
j |
-16777216/74851 |
j-invariant |
L |
4.1121861858817 |
L(r)(E,1)/r! |
Ω |
0.82329429236391 |
Real period |
R |
1.248698741149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4403a1 |
Quadratic twists by: -3 |