Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5985m |
Isogeny class |
Conductor |
5985 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
18000 |
Modular degree for the optimal curve |
Δ |
-13822129321875 = -1 · 36 · 55 · 75 · 192 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 3 -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1893,-181661] |
[a1,a2,a3,a4,a6] |
Generators |
[706:4651:8] |
Generators of the group modulo torsion |
j |
-1029077364736/18960396875 |
j-invariant |
L |
7.4034997047861 |
L(r)(E,1)/r! |
Ω |
0.30374891633903 |
Real period |
R |
2.4373748535526 |
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 |
95760di1 665d1 29925s1 41895by1 |
Quadratic twists by: -4 -3 5 -7 |