Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576v |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1517400404222976 = 210 · 32 · 78 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-463752,-121696380] |
[a1,a2,a3,a4,a6] |
Generators |
[111213926:6673929360:29791] |
Generators of the group modulo torsion |
j |
91557481657828/12595401 |
j-invariant |
L |
8.2214695154789 |
L(r)(E,1)/r! |
Ω |
0.18294966254678 |
Real period |
R |
11.234606012701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15288u3 122304gh4 91728ba4 4368d3 |
Quadratic twists by: -4 8 -3 -7 |