Atkin-Lehner |
2- 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
22326i |
Isogeny class |
Conductor |
22326 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
234240 |
Modular degree for the optimal curve |
Δ |
-62113169411119044 = -1 · 22 · 34 · 618 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-61474,13323443] |
[a1,a2,a3,a4,a6] |
j |
-134017/324 |
j-invariant |
L |
3.7188075779179 |
L(r)(E,1)/r! |
Ω |
0.30990063149316 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66978h1 22326c1 |
Quadratic twists by: -3 61 |