Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420h |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7601852160 = 28 · 33 · 5 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-359127,82836206] |
[a1,a2,a3,a4,a6] |
Generators |
[430:2814:1] |
Generators of the group modulo torsion |
j |
741078400543702128/1099805 |
j-invariant |
L |
6.980496678967 |
L(r)(E,1)/r! |
Ω |
0.8453855384339 |
Real period |
R |
1.3761959007228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84420d2 |
Quadratic twists by: -3 |