Atkin-Lehner |
2- 3- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
84420m |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-4435247429786880 = -1 · 28 · 38 · 5 · 76 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66783,7375142] |
[a1,a2,a3,a4,a6] |
Generators |
[139:-882:1] [-218:3402:1] |
Generators of the group modulo torsion |
j |
-176503772249296/23765686245 |
j-invariant |
L |
10.23859499365 |
L(r)(E,1)/r! |
Ω |
0.42248717214723 |
Real period |
R |
0.67316935339911 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998778 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28140f2 |
Quadratic twists by: -3 |