Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1014c |
Isogeny class |
Conductor |
1014 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-8541936 = -1 · 24 · 35 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 0 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,48,-50] |
[a1,a2,a3,a4,a6] |
Generators |
[5:15:1] |
Generators of the group modulo torsion |
j |
5735339/3888 |
j-invariant |
L |
1.9424336989416 |
L(r)(E,1)/r! |
Ω |
1.3173935460676 |
Real period |
R |
0.2948904227958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8112y1 32448p1 3042n1 25350cc1 |
Quadratic twists by: -4 8 -3 5 |