Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30096d |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-211884781160448 = -1 · 211 · 38 · 112 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35355,2652842] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:2052:1] |
Generators of the group modulo torsion |
j |
-3273548323250/141919569 |
j-invariant |
L |
5.6210901252771 |
L(r)(E,1)/r! |
Ω |
0.55700735154573 |
Real period |
R |
0.31536220469522 |
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 |
15048f2 120384de2 10032b2 |
Quadratic twists by: -4 8 -3 |