Atkin-Lehner |
2- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68672t |
Isogeny class |
Conductor |
68672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-70320128 = -1 · 216 · 29 · 37 |
Discriminant |
Eigenvalues |
2- 1 -4 4 3 -4 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,95,-161] |
[a1,a2,a3,a4,a6] |
Generators |
[33:200:1] |
Generators of the group modulo torsion |
j |
1431644/1073 |
j-invariant |
L |
6.4486736872308 |
L(r)(E,1)/r! |
Ω |
1.0899605339037 |
Real period |
R |
2.9582143058457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68672h1 17168e1 |
Quadratic twists by: -4 8 |