Atkin-Lehner |
2- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100100g |
Isogeny class |
Conductor |
100100 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
342144 |
Modular degree for the optimal curve |
Δ |
-874837964000000 = -1 · 28 · 56 · 76 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11+ 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67933,-6984737] |
[a1,a2,a3,a4,a6] |
Generators |
[309:1274:1] |
Generators of the group modulo torsion |
j |
-8667872124928/218709491 |
j-invariant |
L |
7.0751234907693 |
L(r)(E,1)/r! |
Ω |
0.14763916888472 |
Real period |
R |
1.331158995554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4004a1 |
Quadratic twists by: 5 |