Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970cd |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-208505131345244160 = -1 · 212 · 313 · 5 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,31153,-21874921] |
[a1,a2,a3,a4,a6] |
Generators |
[319:4362:1] |
Generators of the group modulo torsion |
j |
4586790226340951/286015269335040 |
j-invariant |
L |
6.9871050901316 |
L(r)(E,1)/r! |
Ω |
0.15104962250005 |
Real period |
R |
1.9273757453805 |
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 |
95760ff1 3990l1 59850cl1 83790dx1 |
Quadratic twists by: -4 -3 5 -7 |