Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480ce |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
358848921600 = 220 · 34 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2145,25857] |
[a1,a2,a3,a4,a6] |
j |
4165509529/1368900 |
j-invariant |
L |
1.7641922788584 |
L(r)(E,1)/r! |
Ω |
0.8820961394292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12480bi2 3120u2 37440ed2 62400gc2 |
Quadratic twists by: -4 8 -3 5 |