Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104ca |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-3611295744 = -1 · 222 · 3 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 2 -1 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2849,-57663] |
[a1,a2,a3,a4,a6] |
Generators |
[9903:187264:27] |
Generators of the group modulo torsion |
j |
-9759185353/13776 |
j-invariant |
L |
7.068774548989 |
L(r)(E,1)/r! |
Ω |
0.32669839005841 |
Real period |
R |
5.4092511350907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999519 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55104t1 13776u1 |
Quadratic twists by: -4 8 |