Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576v |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-81256549911892992 = -1 · 210 · 32 · 714 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,83088,-10126908] |
[a1,a2,a3,a4,a6] |
Generators |
[1150290:-40109817:1000] |
Generators of the group modulo torsion |
j |
526556774012/674481717 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
15288u4 122304gh3 91728ba3 4368d4 |
Quadratic twists by: -4 8 -3 -7 |