Atkin-Lehner |
2- 3- 5- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
30210bj |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-73518289487712000 = -1 · 28 · 316 · 53 · 19 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,103995,-1877823] |
[a1,a2,a3,a4,a6] |
Generators |
[24:783:1] |
Generators of the group modulo torsion |
j |
124382943151535058479/73518289487712000 |
j-invariant |
L |
10.635685752712 |
L(r)(E,1)/r! |
Ω |
0.20223860274838 |
Real period |
R |
1.0956206357424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90630i1 |
Quadratic twists by: -3 |