Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3465o |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-613814355 = -1 · 313 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 11+ -2 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1137,-14805] |
[a1,a2,a3,a4,a6] |
Generators |
[16450:745835:8] |
Generators of the group modulo torsion |
j |
-222985990144/841995 |
j-invariant |
L |
6.5148080570693 |
L(r)(E,1)/r! |
Ω |
0.41099002693687 |
Real period |
R |
7.9257495682128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55440es1 1155i1 17325bc1 24255bf1 |
Quadratic twists by: -4 -3 5 -7 |