Atkin-Lehner |
2+ 3- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
65136h |
Isogeny class |
Conductor |
65136 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
154240 |
Modular degree for the optimal curve |
Δ |
-2333148592128 = -1 · 211 · 3 · 235 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 5 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1880,79284] |
[a1,a2,a3,a4,a6] |
Generators |
[42:276:1] |
Generators of the group modulo torsion |
j |
-359003179442/1139232711 |
j-invariant |
L |
7.8112601234869 |
L(r)(E,1)/r! |
Ω |
0.71862517475373 |
Real period |
R |
0.54348639582271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32568c1 |
Quadratic twists by: -4 |