Atkin-Lehner |
2+ 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666q |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7015680 |
Modular degree for the optimal curve |
Δ |
-1.5367044243174E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 0 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5621113,5163665210] |
[a1,a2,a3,a4,a6] |
j |
-4069400507818743889/31836860010774 |
j-invariant |
L |
2.2019321352222 |
L(r)(E,1)/r! |
Ω |
0.18349434076507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9282t1 |
Quadratic twists by: 13 |