Atkin-Lehner |
2+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37544f |
Isogeny class |
Conductor |
37544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
-1252549535744 = -1 · 211 · 13 · 196 |
Discriminant |
Eigenvalues |
2+ -1 -1 5 -2 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5896,184364] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:3971:8] |
Generators of the group modulo torsion |
j |
-235298/13 |
j-invariant |
L |
4.8945152167696 |
L(r)(E,1)/r! |
Ω |
0.8507991833848 |
Real period |
R |
2.8764221407092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75088j1 104a1 |
Quadratic twists by: -4 -19 |