Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360ca |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-153754848000 = -1 · 28 · 37 · 53 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1992,-39076] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1170:1] |
Generators of the group modulo torsion |
j |
-4684079104/823875 |
j-invariant |
L |
5.0759368510482 |
L(r)(E,1)/r! |
Ω |
0.35391813314526 |
Real period |
R |
0.39839226266651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2340i2 37440dw2 3120p2 46800cy2 |
Quadratic twists by: -4 8 -3 5 |