Atkin-Lehner |
2+ 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
12390c |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
863505562500 = 22 · 34 · 56 · 72 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2803,-36743] |
[a1,a2,a3,a4,a6] |
j |
2436885228142009/863505562500 |
j-invariant |
L |
1.3505887928681 |
L(r)(E,1)/r! |
Ω |
0.67529439643404 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99120cm2 37170bl2 61950ce2 86730bp2 |
Quadratic twists by: -4 -3 5 -7 |