Atkin-Lehner |
2- 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57950bl |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-14750199121093750 = -1 · 2 · 511 · 195 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 -3 -2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-130063,-19030469] |
[a1,a2,a3,a4,a6] |
Generators |
[1234382:484257979:8] |
Generators of the group modulo torsion |
j |
-15572745859032361/944012743750 |
j-invariant |
L |
13.751863190426 |
L(r)(E,1)/r! |
Ω |
0.12525896966064 |
Real period |
R |
10.978745256711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11590f1 |
Quadratic twists by: 5 |