Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
61380t |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.8833656734937E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-713487,101056966] |
[a1,a2,a3,a4,a6] |
Generators |
[-558:18040:1] |
Generators of the group modulo torsion |
j |
215235752017180624/100917656544375 |
j-invariant |
L |
7.2350754993218 |
L(r)(E,1)/r! |
Ω |
0.19424484334333 |
Real period |
R |
4.6558993374052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460g2 |
Quadratic twists by: -3 |