Atkin-Lehner |
3- 19+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
5757f |
Isogeny class |
Conductor |
5757 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
196200 |
Modular degree for the optimal curve |
Δ |
17517573378735237 = 35 · 193 · 1015 |
Discriminant |
Eigenvalues |
-2 3- -4 -2 -3 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1422660,652625210] |
[a1,a2,a3,a4,a6] |
Generators |
[645:1939:1] |
Generators of the group modulo torsion |
j |
318439827597943755329536/17517573378735237 |
j-invariant |
L |
1.5049806491333 |
L(r)(E,1)/r! |
Ω |
0.36776495802508 |
Real period |
R |
4.0922350438582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
92112l1 17271g1 109383i1 |
Quadratic twists by: -4 -3 -19 |