Atkin-Lehner |
2- 3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31020j |
Isogeny class |
Conductor |
31020 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9421937250000 = 24 · 3 · 56 · 112 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104281,-12995500] |
[a1,a2,a3,a4,a6] |
j |
7838328411061141504/588871078125 |
j-invariant |
L |
2.3910704815719 |
L(r)(E,1)/r! |
Ω |
0.26567449795282 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080bf3 93060r3 |
Quadratic twists by: -4 -3 |