Atkin-Lehner |
2+ 3+ 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040h |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-13362056144640000 = -1 · 211 · 33 · 54 · 72 · 534 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,33040,5047392] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:1250:1] |
Generators of the group modulo torsion |
j |
1947604329004318/6524441476875 |
j-invariant |
L |
3.6966827753681 |
L(r)(E,1)/r! |
Ω |
0.28170920758804 |
Real period |
R |
3.2805839061913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013015 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44520x3 |
Quadratic twists by: -4 |