Atkin-Lehner |
2+ 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270b |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-594774505965659040 = -1 · 25 · 33 · 5 · 715 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,107610,-34554924] |
[a1,a2,a3,a4,a6] |
j |
5104057660996785093/22028685406135520 |
j-invariant |
L |
0.48869052940709 |
L(r)(E,1)/r! |
Ω |
0.14660715882213 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
18270bj2 91350cz1 127890t1 |
Quadratic twists by: -3 5 -7 |