Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935p |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2297856740481225 = 32 · 52 · 78 · 116 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44591,-2814316] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:970:1] |
Generators of the group modulo torsion |
j |
47045881/11025 |
j-invariant |
L |
1.9747404789471 |
L(r)(E,1)/r! |
Ω |
0.33410126781265 |
Real period |
R |
1.4776511369969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12705n2 735a2 |
Quadratic twists by: -7 -11 |