Atkin-Lehner |
2- 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
111202bf |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-2266741568 = -1 · 26 · 73 · 133 · 47 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -2 13- 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1089,13567] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-94:1] |
Generators of the group modulo torsion |
j |
-65013301261/1031744 |
j-invariant |
L |
5.9488294323889 |
L(r)(E,1)/r! |
Ω |
1.4618934527558 |
Real period |
R |
0.11303509179068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111202f1 |
Quadratic twists by: 13 |