Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1170j |
Isogeny class |
Conductor |
1170 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-727833600 = -1 · 210 · 37 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-473,4281] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-84:1] |
Generators of the group modulo torsion |
j |
-16022066761/998400 |
j-invariant |
L |
3.3018594336408 |
L(r)(E,1)/r! |
Ω |
1.579552780637 |
Real period |
R |
0.10451880665581 |
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 |
9360bj1 37440ct1 390f1 5850p1 |
Quadratic twists by: -4 8 -3 5 |