Atkin-Lehner |
2- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12376j |
Isogeny class |
Conductor |
12376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3273600 |
Modular degree for the optimal curve |
Δ |
-4671638223616 = -1 · 28 · 75 · 13 · 174 |
Discriminant |
Eigenvalues |
2- -2 1 7+ 0 13- 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6393885505,196784411642067] |
[a1,a2,a3,a4,a6] |
j |
-112921935191145358638804243137536/18248586811 |
j-invariant |
L |
1.0786293956208 |
L(r)(E,1)/r! |
Ω |
0.1348286744526 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24752m1 99008h1 111384q1 86632r1 |
Quadratic twists by: -4 8 -3 -7 |