Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
8904c |
Isogeny class |
Conductor |
8904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
61544448 = 211 · 34 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15832,-772048] |
[a1,a2,a3,a4,a6] |
Generators |
[-62566136450:-252589077:857375000] |
Generators of the group modulo torsion |
j |
214303140064946/30051 |
j-invariant |
L |
5.8363524512078 |
L(r)(E,1)/r! |
Ω |
0.42561147358342 |
Real period |
R |
13.712864463143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17808b4 71232u4 26712p4 62328f4 |
Quadratic twists by: -4 8 -3 -7 |