Atkin-Lehner |
2- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33488r |
Isogeny class |
Conductor |
33488 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
30400 |
Modular degree for the optimal curve |
Δ |
20583600128 = 212 · 75 · 13 · 23 |
Discriminant |
Eigenvalues |
2- -2 2 7+ -3 13- 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2917,59283] |
[a1,a2,a3,a4,a6] |
Generators |
[22:79:1] |
Generators of the group modulo torsion |
j |
670381355008/5025293 |
j-invariant |
L |
4.0641831276032 |
L(r)(E,1)/r! |
Ω |
1.2200744158376 |
Real period |
R |
3.3310944601793 |
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 |
2093j1 |
Quadratic twists by: -4 |