Atkin-Lehner |
3- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10335f |
Isogeny class |
Conductor |
10335 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18051266025 = 32 · 52 · 134 · 532 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14929,-703273] |
[a1,a2,a3,a4,a6] |
Generators |
[34383:1204015:27] |
Generators of the group modulo torsion |
j |
367937495414848009/18051266025 |
j-invariant |
L |
6.4588061388588 |
L(r)(E,1)/r! |
Ω |
0.43191336057861 |
Real period |
R |
7.4769696059023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31005q2 51675d2 |
Quadratic twists by: -3 5 |