Atkin-Lehner |
2- 7- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
12502d |
Isogeny class |
Conductor |
12502 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
60928 |
Modular degree for the optimal curve |
Δ |
-80708360371856 = -1 · 24 · 77 · 194 · 47 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 3 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-109087,13865449] |
[a1,a2,a3,a4,a6] |
Generators |
[72:2491:1] |
Generators of the group modulo torsion |
j |
-143563142482697477233/80708360371856 |
j-invariant |
L |
6.9743169100115 |
L(r)(E,1)/r! |
Ω |
0.60169824082366 |
Real period |
R |
0.20698311037536 |
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 |
100016o1 112518n1 87514x1 |
Quadratic twists by: -4 -3 -7 |