Atkin-Lehner |
2- 3+ 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
78864q |
Isogeny class |
Conductor |
78864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-9505320192 = -1 · 28 · 36 · 312 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4,-4692] |
[a1,a2,a3,a4,a6] |
j |
21296/37130157 |
j-invariant |
L |
5.3495356500683 |
L(r)(E,1)/r! |
Ω |
0.59439285431539 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19716e2 |
Quadratic twists by: -4 |