Atkin-Lehner |
2- 3- 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494cr |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1671168 |
Modular degree for the optimal curve |
Δ |
18742986814275108 = 22 · 314 · 7 · 116 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-688280,-219512937] |
[a1,a2,a3,a4,a6] |
j |
49464206021742765625/25710544326852 |
j-invariant |
L |
1.989083448881 |
L(r)(E,1)/r! |
Ω |
0.16575699513958 |
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 |
36498n1 |
Quadratic twists by: -3 |