Atkin-Lehner |
3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
76725x |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
500831578564453125 = 36 · 511 · 114 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3732417,-2774307884] |
[a1,a2,a3,a4,a6] |
j |
504831795225826249/43968753125 |
j-invariant |
L |
1.7378978786677 |
L(r)(E,1)/r! |
Ω |
0.10861861959384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8525a2 15345l2 |
Quadratic twists by: -3 5 |