Atkin-Lehner |
2- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59774ba |
Isogeny class |
Conductor |
59774 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
3.0164263673757E+19 |
Discriminant |
Eigenvalues |
2- 2 -2 -2 11- 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17245104,-27570210799] |
[a1,a2,a3,a4,a6] |
Generators |
[-64473:51943:27] |
Generators of the group modulo torsion |
j |
320158514472168582937/17026940463104 |
j-invariant |
L |
10.613636107219 |
L(r)(E,1)/r! |
Ω |
0.074085716596016 |
Real period |
R |
6.511889565676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5434f2 |
Quadratic twists by: -11 |