Atkin-Lehner |
3- 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
5757g |
Isogeny class |
Conductor |
5757 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
-1.3937640914858E+24 |
Discriminant |
Eigenvalues |
0 3- -3 5 3 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5784767,-57054396223] |
[a1,a2,a3,a4,a6] |
j |
-21408261467195745040826368/1393764091485775357032891 |
j-invariant |
L |
2.2558817984601 |
L(r)(E,1)/r! |
Ω |
0.037598029974335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92112h2 17271i2 109383f2 |
Quadratic twists by: -4 -3 -19 |