Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66300bh |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
11796480 |
Modular degree for the optimal curve |
Δ |
8.3431977995057E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61551633,-123448272012] |
[a1,a2,a3,a4,a6] |
Generators |
[14352:-1396278:1] |
Generators of the group modulo torsion |
j |
103157889656032577929216/33372791198022770325 |
j-invariant |
L |
7.5082072431004 |
L(r)(E,1)/r! |
Ω |
0.055285358299452 |
Real period |
R |
0.84880150385659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000757 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13260f1 |
Quadratic twists by: 5 |