Atkin-Lehner |
3+ 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
45135a |
Isogeny class |
Conductor |
45135 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
135811215 = 33 · 5 · 172 · 592 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-143,376] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:31:1] |
Generators of the group modulo torsion |
j |
11899199187/5030045 |
j-invariant |
L |
2.1978400866911 |
L(r)(E,1)/r! |
Ω |
1.6664541748115 |
Real period |
R |
0.65943610088171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45135f2 |
Quadratic twists by: -3 |