Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15792v |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-1230444839006208 = -1 · 212 · 310 · 72 · 473 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25536,-626112] |
[a1,a2,a3,a4,a6] |
Generators |
[32:472:1] |
Generators of the group modulo torsion |
j |
449578326020543/300401572023 |
j-invariant |
L |
4.1372540528373 |
L(r)(E,1)/r! |
Ω |
0.27596793367386 |
Real period |
R |
3.7479481744125 |
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 |
987e1 63168di1 47376bu1 110544ea1 |
Quadratic twists by: -4 8 -3 -7 |