Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6960ba |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2906496000000 = -1 · 213 · 33 · 56 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3400,-31248] |
[a1,a2,a3,a4,a6] |
Generators |
[34:350:1] |
Generators of the group modulo torsion |
j |
1060895910599/709593750 |
j-invariant |
L |
4.1284085432357 |
L(r)(E,1)/r! |
Ω |
0.45674777187049 |
Real period |
R |
1.5064508967859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
870c2 27840dt2 20880cd2 34800db2 |
Quadratic twists by: -4 8 -3 5 |