Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
86240h |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1811794600000000 = -1 · 29 · 58 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,30037,-423262] |
[a1,a2,a3,a4,a6] |
Generators |
[426:6308:27] |
Generators of the group modulo torsion |
j |
49754821752/30078125 |
j-invariant |
L |
4.0239364276933 |
L(r)(E,1)/r! |
Ω |
0.27309105758407 |
Real period |
R |
7.3673895971821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999985677 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86240x2 12320c4 |
Quadratic twists by: -4 -7 |