Atkin-Lehner |
3- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10335f |
Isogeny class |
Conductor |
10335 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
81063240399375 = 3 · 54 · 138 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15724,-624409] |
[a1,a2,a3,a4,a6] |
Generators |
[5085:359962:1] |
Generators of the group modulo torsion |
j |
429905610998962489/81063240399375 |
j-invariant |
L |
6.4588061388588 |
L(r)(E,1)/r! |
Ω |
0.43191336057861 |
Real period |
R |
3.7384848029512 |
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 |
31005q3 51675d3 |
Quadratic twists by: -3 5 |