Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120i |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-370215360 = -1 · 26 · 37 · 5 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93,988] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:36:1] [-4:36:1] |
Generators of the group modulo torsion |
j |
-1906624/7935 |
j-invariant |
L |
7.4476221488144 |
L(r)(E,1)/r! |
Ω |
1.4785013152136 |
Real period |
R |
1.2593195001216 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33120bf1 66240cr1 11040p1 |
Quadratic twists by: -4 8 -3 |