Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15162x |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
Δ |
-36516888576 = -1 · 215 · 32 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -6 -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-777,12087] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:72:1] [-17:152:1] |
Generators of the group modulo torsion |
j |
-143719103593/101154816 |
j-invariant |
L |
7.2764977021409 |
L(r)(E,1)/r! |
Ω |
1.0660651738901 |
Real period |
R |
0.075839616984404 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121296cv2 45486u2 106134dd2 15162o2 |
Quadratic twists by: -4 -3 -7 -19 |