Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
15792q |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-9556777520462592 = -1 · 28 · 39 · 79 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -3 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-231133,43105153] |
[a1,a2,a3,a4,a6] |
Generators |
[297:754:1] |
Generators of the group modulo torsion |
j |
-5334227016064000000/37331162189307 |
j-invariant |
L |
3.7284956134073 |
L(r)(E,1)/r! |
Ω |
0.41134522564486 |
Real period |
R |
4.5320759558619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3948e1 63168db1 47376bc1 110544dj1 |
Quadratic twists by: -4 8 -3 -7 |