Atkin-Lehner |
2- 3+ 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
42456i |
Isogeny class |
Conductor |
42456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-3171074468788224 = -1 · 211 · 315 · 29 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 2 2 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29424,1878732] |
[a1,a2,a3,a4,a6] |
Generators |
[300971:5958846:1331] |
Generators of the group modulo torsion |
j |
1375574560653022/1548376205463 |
j-invariant |
L |
5.1446543108327 |
L(r)(E,1)/r! |
Ω |
0.2984800717235 |
Real period |
R |
8.6180867639278 |
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 |
84912h1 127368d1 |
Quadratic twists by: -4 -3 |