Atkin-Lehner |
2+ 3- 5+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
90630p |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
2818955520 = 28 · 37 · 5 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2880,60160] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-1:1] |
Generators of the group modulo torsion |
j |
3624586490881/3866880 |
j-invariant |
L |
3.775010559076 |
L(r)(E,1)/r! |
Ω |
1.426248765238 |
Real period |
R |
2.6468107487757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915654 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30210bd1 |
Quadratic twists by: -3 |