Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720b |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6.9507794983977E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6163041,-5873257759] |
[a1,a2,a3,a4,a6] |
Generators |
[-1701193859683395:-596271061234304:1235721447891] |
Generators of the group modulo torsion |
j |
98757259854107414041/265151195465000 |
j-invariant |
L |
9.356483480866 |
L(r)(E,1)/r! |
Ω |
0.095834275826776 |
Real period |
R |
24.407977729307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720x4 2210b4 |
Quadratic twists by: -4 8 |