Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38532c |
Isogeny class |
Conductor |
38532 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1545119482608 = -1 · 24 · 34 · 137 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 2 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40954,3204265] |
[a1,a2,a3,a4,a6] |
Generators |
[-212:1521:1] [22:1521:1] |
Generators of the group modulo torsion |
j |
-98365589248/20007 |
j-invariant |
L |
6.7008225518787 |
L(r)(E,1)/r! |
Ω |
0.82298765612311 |
Real period |
R |
0.33925288864821 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115596p1 2964b1 |
Quadratic twists by: -3 13 |