Atkin-Lehner |
2- 3- 5- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470bh |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
58872309645600 = 25 · 39 · 52 · 113 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55199282,-157837532911] |
[a1,a2,a3,a4,a6] |
Generators |
[-1072512189:536286941:250047] |
Generators of the group modulo torsion |
j |
25515052283021802449294809/80757626400 |
j-invariant |
L |
11.02961978816 |
L(r)(E,1)/r! |
Ω |
0.055388065627531 |
Real period |
R |
9.9566753805194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490k2 |
Quadratic twists by: -3 |