Atkin-Lehner |
2+ 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11130r |
Isogeny class |
Conductor |
11130 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1073736654480 = 24 · 35 · 5 · 7 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3923,-80674] |
[a1,a2,a3,a4,a6] |
j |
6674511548192041/1073736654480 |
j-invariant |
L |
3.0491392948165 |
L(r)(E,1)/r! |
Ω |
0.60982785896329 |
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 |
89040bl1 33390bm1 55650cc1 77910d1 |
Quadratic twists by: -4 -3 5 -7 |