Atkin-Lehner |
2- 3- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
62712f |
Isogeny class |
Conductor |
62712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
151552 |
Modular degree for the optimal curve |
Δ |
-13864334844672 = -1 · 28 · 314 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 2 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2796,-169868] |
[a1,a2,a3,a4,a6] |
Generators |
[41:117:1] |
Generators of the group modulo torsion |
j |
12952921088/74290203 |
j-invariant |
L |
5.9126680102677 |
L(r)(E,1)/r! |
Ω |
0.35339311188063 |
Real period |
R |
2.0913919269411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125424f1 20904e1 |
Quadratic twists by: -4 -3 |