Atkin-Lehner |
2- 3+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
13452b |
Isogeny class |
Conductor |
13452 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-9087956828928 = -1 · 28 · 35 · 195 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 -4 1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5429,213345] |
[a1,a2,a3,a4,a6] |
Generators |
[16:361:1] |
Generators of the group modulo torsion |
j |
-69139027197952/35499831363 |
j-invariant |
L |
2.9385063781583 |
L(r)(E,1)/r! |
Ω |
0.68022603401731 |
Real period |
R |
0.86397939249807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53808t1 40356d1 |
Quadratic twists by: -4 -3 |