Atkin-Lehner |
2- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68672x |
Isogeny class |
Conductor |
68672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-2136866624 = -1 · 26 · 293 · 372 |
Discriminant |
Eigenvalues |
2- -1 3 2 1 5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-224,-2498] |
[a1,a2,a3,a4,a6] |
Generators |
[1533:10954:27] |
Generators of the group modulo torsion |
j |
-19508557888/33388541 |
j-invariant |
L |
7.4542190260936 |
L(r)(E,1)/r! |
Ω |
0.58287128509342 |
Real period |
R |
6.3943954841654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68672s1 34336a1 |
Quadratic twists by: -4 8 |