Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15792bi |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-84897792 = -1 · 212 · 32 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -2 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,104,212] |
[a1,a2,a3,a4,a6] |
j |
30080231/20727 |
j-invariant |
L |
4.8436321183675 |
L(r)(E,1)/r! |
Ω |
1.2109080295919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
987a1 63168cr1 47376cb1 110544cx1 |
Quadratic twists by: -4 8 -3 -7 |