Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30276j |
Isogeny class |
Conductor |
30276 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-93357986572433664 = -1 · 28 · 36 · 298 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -6 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32799,-14877290] |
[a1,a2,a3,a4,a6] |
Generators |
[2073566898664948050:28634700453484437311:5456423720125000] |
Generators of the group modulo torsion |
j |
-35152/841 |
j-invariant |
L |
7.4482220949089 |
L(r)(E,1)/r! |
Ω |
0.14646560441823 |
Real period |
R |
25.426522918106 |
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 |
121104by2 3364b2 1044h2 |
Quadratic twists by: -4 -3 29 |