Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
15792j |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8977941504 = 210 · 34 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-904,-9724] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:30:1] |
Generators of the group modulo torsion |
j |
79874724388/8767521 |
j-invariant |
L |
5.3908394040769 |
L(r)(E,1)/r! |
Ω |
0.87679918414684 |
Real period |
R |
1.5370792712707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7896i2 63168cf2 47376i2 110544j2 |
Quadratic twists by: -4 8 -3 -7 |