Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30912ck |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
696597221376 = 212 · 38 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34777,-2507545] |
[a1,a2,a3,a4,a6] |
Generators |
[341:5040:1] |
Generators of the group modulo torsion |
j |
1135671162482368/170067681 |
j-invariant |
L |
7.8116035042194 |
L(r)(E,1)/r! |
Ω |
0.34960641074593 |
Real period |
R |
2.7929992357521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30912bh2 15456o1 92736fc2 |
Quadratic twists by: -4 8 -3 |