Atkin-Lehner |
2- 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10608r |
Isogeny class |
Conductor |
10608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
43821648 = 24 · 36 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3153,-67104] |
[a1,a2,a3,a4,a6] |
Generators |
[169800:3039957:512] |
Generators of the group modulo torsion |
j |
216727177216000/2738853 |
j-invariant |
L |
4.4538141049449 |
L(r)(E,1)/r! |
Ω |
0.63709971904117 |
Real period |
R |
6.9907645095934 |
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 |
2652f1 42432cd1 31824bm1 |
Quadratic twists by: -4 8 -3 |