Atkin-Lehner |
2+ 3+ 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
36498o |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15719334715392 = 213 · 3 · 7 · 114 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5726142466,-166781375024396] |
[a1,a2,a3,a4,a6] |
j |
20763958841664066401956998359484457/15719334715392 |
j-invariant |
L |
0.55537201978034 |
L(r)(E,1)/r! |
Ω |
0.017355375617003 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109494ce4 |
Quadratic twists by: -3 |