Atkin-Lehner |
2+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18424c |
Isogeny class |
Conductor |
18424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
39635477504 = 210 · 77 · 47 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- -6 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5504,155056] |
[a1,a2,a3,a4,a6] |
Generators |
[51:98:1] |
Generators of the group modulo torsion |
j |
153091012/329 |
j-invariant |
L |
2.3374103787246 |
L(r)(E,1)/r! |
Ω |
1.1512587957693 |
Real period |
R |
1.0151541891859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36848d1 2632a1 |
Quadratic twists by: -4 -7 |