Atkin-Lehner |
2+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4550m |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
19906250000 = 24 · 59 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1200,14000] |
[a1,a2,a3,a4,a6] |
j |
97972181/10192 |
j-invariant |
L |
2.3619582504486 |
L(r)(E,1)/r! |
Ω |
1.1809791252243 |
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 |
36400co1 40950fk1 4550w1 31850bl1 |
Quadratic twists by: -4 -3 5 -7 |