Atkin-Lehner |
2- 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010cr |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
6.203507464061E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-48582031,-129787160455] |
[a1,a2,a3,a4,a6] |
j |
107786029195965193728481/527289434169523200 |
j-invariant |
L |
4.5761311868243 |
L(r)(E,1)/r! |
Ω |
0.057201643723553 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430bc2 |
Quadratic twists by: -7 |