Atkin-Lehner |
3- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
89739h |
Isogeny class |
Conductor |
89739 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1467648 |
Modular degree for the optimal curve |
Δ |
-997512837977709261 = -1 · 313 · 139 · 59 |
Discriminant |
Eigenvalues |
-1 3- 1 -4 -5 13- -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,83623,47121702] |
[a1,a2,a3,a4,a6] |
Generators |
[296:9738:1] |
Generators of the group modulo torsion |
j |
8365427/129033 |
j-invariant |
L |
1.3102865748595 |
L(r)(E,1)/r! |
Ω |
0.20632620601543 |
Real period |
R |
1.5876395241634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000127425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29913f1 89739k1 |
Quadratic twists by: -3 13 |