Atkin-Lehner |
2+ 3+ 5- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30210f |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-5946234300 = -1 · 22 · 310 · 52 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,363,-2439] |
[a1,a2,a3,a4,a6] |
Generators |
[7:19:1] |
Generators of the group modulo torsion |
j |
5267115772199/5946234300 |
j-invariant |
L |
3.3670949906338 |
L(r)(E,1)/r! |
Ω |
0.72555790460497 |
Real period |
R |
2.3203489130665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90630by1 |
Quadratic twists by: -3 |