Atkin-Lehner |
2+ 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
12390k |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
69465066952458240 = 230 · 32 · 5 · 7 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-116988,-8750534] |
[a1,a2,a3,a4,a6] |
j |
177068914538432326201/69465066952458240 |
j-invariant |
L |
2.402578618732 |
L(r)(E,1)/r! |
Ω |
0.26695317985911 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120bz3 37170bc3 61950bl3 86730g3 |
Quadratic twists by: -4 -3 5 -7 |