Atkin-Lehner |
2- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52976x |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
548352 |
Modular degree for the optimal curve |
Δ |
-1243856219834826752 = -1 · 214 · 72 · 117 · 433 |
Discriminant |
Eigenvalues |
2- 1 2 7- 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,120808,51207572] |
[a1,a2,a3,a4,a6] |
Generators |
[155219:61153288:1] |
Generators of the group modulo torsion |
j |
47604417228580967/303675834920612 |
j-invariant |
L |
8.684964219663 |
L(r)(E,1)/r! |
Ω |
0.19772300636933 |
Real period |
R |
10.981226184911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6622c1 |
Quadratic twists by: -4 |