Atkin-Lehner |
2+ 3- 13- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30498l |
Isogeny class |
Conductor |
30498 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
145931687689984794 = 2 · 32 · 133 · 178 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 0 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-170892,-20053160] |
[a1,a2,a3,a4,a6] |
Generators |
[520:-5896:1] |
Generators of the group modulo torsion |
j |
551931595882673171257/145931687689984794 |
j-invariant |
L |
3.7508112754476 |
L(r)(E,1)/r! |
Ω |
0.2394324396479 |
Real period |
R |
0.65272610250087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91494y2 |
Quadratic twists by: -3 |