Atkin-Lehner |
2- 3+ 5+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
70290l |
Isogeny class |
Conductor |
70290 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-292417382812500000 = -1 · 25 · 33 · 514 · 11 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-341048,-80869669] |
[a1,a2,a3,a4,a6] |
Generators |
[76564:2199103:64] |
Generators of the group modulo torsion |
j |
-162482007150890386947/10830273437500000 |
j-invariant |
L |
9.9485002814558 |
L(r)(E,1)/r! |
Ω |
0.09840062593239 |
Real period |
R |
10.110200201923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997448 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70290a2 |
Quadratic twists by: -3 |