Atkin-Lehner |
2+ 3+ 5- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30210i |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
321024 |
Modular degree for the optimal curve |
Δ |
-7014463399526400 = -1 · 219 · 312 · 52 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -6 3 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-100187,12812061] |
[a1,a2,a3,a4,a6] |
j |
-111215316508457427001/7014463399526400 |
j-invariant |
L |
1.6538644635683 |
L(r)(E,1)/r! |
Ω |
0.41346611589214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90630bx1 |
Quadratic twists by: -3 |