Atkin-Lehner |
2+ 3- 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
91650br |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
808704 |
Modular degree for the optimal curve |
Δ |
-22326429163545000 = -1 · 23 · 39 · 54 · 136 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-117876,-17165702] |
[a1,a2,a3,a4,a6] |
j |
-289810802071854025/35722286661672 |
j-invariant |
L |
2.303027139621 |
L(r)(E,1)/r! |
Ω |
0.12794594572441 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
91650cg1 |
Quadratic twists by: 5 |