Atkin-Lehner |
2+ 5+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57950c |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2193408 |
Modular degree for the optimal curve |
Δ |
-538769364992000000 = -1 · 217 · 56 · 19 · 614 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 -2 -3 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1413367,-647351459] |
[a1,a2,a3,a4,a6] |
Generators |
[250743:23828566:27] |
Generators of the group modulo torsion |
j |
-19983368632718354625/34481239359488 |
j-invariant |
L |
1.5740468545055 |
L(r)(E,1)/r! |
Ω |
0.069224670058729 |
Real period |
R |
5.6845588908004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2318c1 |
Quadratic twists by: 5 |