Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2420c |
Isogeny class |
Conductor |
2420 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-154880 = -1 · 28 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4,20] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:4:1] |
Generators of the group modulo torsion |
j |
176/5 |
j-invariant |
L |
3.4896370079244 |
L(r)(E,1)/r! |
Ω |
2.4404833653298 |
Real period |
R |
1.4298958384635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9680q1 38720bh1 21780t1 12100d1 |
Quadratic twists by: -4 8 -3 5 |