Atkin-Lehner |
2- 7- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
125398r |
Isogeny class |
Conductor |
125398 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1749888 |
Modular degree for the optimal curve |
Δ |
-1161265362699747032 = -1 · 23 · 77 · 137 · 532 |
Discriminant |
Eigenvalues |
2- 1 0 7- -5 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,260172,8915048] |
[a1,a2,a3,a4,a6] |
Generators |
[1522:61938:1] |
Generators of the group modulo torsion |
j |
403501506392375/240586557848 |
j-invariant |
L |
11.522755656448 |
L(r)(E,1)/r! |
Ω |
0.16757873701781 |
Real period |
R |
0.81857438801712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9646a1 |
Quadratic twists by: 13 |