Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15624h |
Isogeny class |
Conductor |
15624 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-133466801328 = -1 · 24 · 311 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -6 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,78,-17575] |
[a1,a2,a3,a4,a6] |
Generators |
[28:81:1] [32:133:1] |
Generators of the group modulo torsion |
j |
4499456/11442627 |
j-invariant |
L |
5.4972117612869 |
L(r)(E,1)/r! |
Ω |
0.48192740799988 |
Real period |
R |
1.4258401965821 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31248y1 124992br1 5208h1 109368bb1 |
Quadratic twists by: -4 8 -3 -7 |