Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770bt |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
1728 |
Product of Tamagawa factors cp |
Δ |
-5.5385327983778E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5536742,12384929909] |
[a1,a2,a3,a4,a6] |
Generators |
[-2583:98491:1] |
Generators of the group modulo torsion |
j |
-25748917201204045964569/75974386809024000000 |
j-invariant |
L |
7.1787204213563 |
L(r)(E,1)/r! |
Ω |
0.098355496289383 |
Real period |
R |
1.520572627735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
7590k4 113850bc4 |
Quadratic twists by: -3 5 |