Atkin-Lehner |
2- 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
2706k |
Isogeny class |
Conductor |
2706 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73920 |
Modular degree for the optimal curve |
Δ |
-380655265638892464 = -1 · 24 · 322 · 11 · 413 |
Discriminant |
Eigenvalues |
2- 3+ -1 5 11+ -6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-150151,-37246675] |
[a1,a2,a3,a4,a6] |
Generators |
[37505:7244274:1] |
Generators of the group modulo torsion |
j |
-374376499897742059249/380655265638892464 |
j-invariant |
L |
4.1966575255741 |
L(r)(E,1)/r! |
Ω |
0.11650871773194 |
Real period |
R |
1.5008381659008 |
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 |
21648bg1 86592bp1 8118f1 67650bc1 |
Quadratic twists by: -4 8 -3 5 |