Atkin-Lehner |
2- 3+ 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18870r |
Isogeny class |
Conductor |
18870 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
512750736000000 = 210 · 34 · 56 · 172 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-444006,-114055581] |
[a1,a2,a3,a4,a6] |
Generators |
[-387:227:1] |
Generators of the group modulo torsion |
j |
9680332841233270793569/512750736000000 |
j-invariant |
L |
5.8088726635358 |
L(r)(E,1)/r! |
Ω |
0.18494973787256 |
Real period |
R |
3.1407844803427 |
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 |
56610f2 94350m2 |
Quadratic twists by: -3 5 |