Atkin-Lehner |
2+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9280h |
Isogeny class |
Conductor |
9280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-55115776000000 = -1 · 222 · 56 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -2 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,628,-357136] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1920:1] |
Generators of the group modulo torsion |
j |
104487111/210250000 |
j-invariant |
L |
4.2604898900061 |
L(r)(E,1)/r! |
Ω |
0.29201284192289 |
Real period |
R |
1.2158397618038 |
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 |
9280q2 290a2 83520w2 46400i2 |
Quadratic twists by: -4 8 -3 5 |