Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7800p |
Isogeny class |
Conductor |
7800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
468000000 = 28 · 32 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 6 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1708,-26588] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:2:1] |
Generators of the group modulo torsion |
j |
137842000/117 |
j-invariant |
L |
3.8596417209358 |
L(r)(E,1)/r! |
Ω |
0.74264033014604 |
Real period |
R |
1.2992971039483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15600s2 62400cb2 23400p2 312a2 |
Quadratic twists by: -4 8 -3 5 |