Atkin-Lehner |
2+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18130b |
Isogeny class |
Conductor |
18130 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-580160 = -1 · 26 · 5 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 2 1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19,46] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:8:1] |
Generators of the group modulo torsion |
j |
-14338681/11840 |
j-invariant |
L |
3.9634349461369 |
L(r)(E,1)/r! |
Ω |
2.6630775313077 |
Real period |
R |
0.7441456171557 |
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 |
90650cf1 18130h1 |
Quadratic twists by: 5 -7 |