Atkin-Lehner |
3- 7- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
49959g |
Isogeny class |
Conductor |
49959 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-571066939858779 = -1 · 310 · 7 · 135 · 612 |
Discriminant |
Eigenvalues |
0 3- 3 7- -4 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2389656,-1421841992] |
[a1,a2,a3,a4,a6] |
j |
-2070152527451539898368/783356570451 |
j-invariant |
L |
1.2142712097518 |
L(r)(E,1)/r! |
Ω |
0.060713560484508 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16653d1 |
Quadratic twists by: -3 |