Atkin-Lehner |
2+ 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
12390c |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1814941406250 = 2 · 32 · 512 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39973,-3092117] |
[a1,a2,a3,a4,a6] |
j |
7063841059686934489/1814941406250 |
j-invariant |
L |
1.3505887928681 |
L(r)(E,1)/r! |
Ω |
0.33764719821702 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120cm4 37170bl4 61950ce4 86730bp4 |
Quadratic twists by: -4 -3 5 -7 |