Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032cv |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-7479236222970624 = -1 · 28 · 322 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33369,-3436342] |
[a1,a2,a3,a4,a6] |
Generators |
[277:5202:1] |
Generators of the group modulo torsion |
j |
449355140528/817887699 |
j-invariant |
L |
7.0469311111918 |
L(r)(E,1)/r! |
Ω |
0.21876532272335 |
Real period |
R |
4.0265357321816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22344l1 67032bu1 |
Quadratic twists by: -3 -7 |