Atkin-Lehner |
3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475j |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-819984375 = -1 · 32 · 56 · 73 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -6 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-113,1406] |
[a1,a2,a3,a4,a6] |
Generators |
[0:-38:1] [-50:371:8] |
Generators of the group modulo torsion |
j |
-29791/153 |
j-invariant |
L |
5.1247290941642 |
L(r)(E,1)/r! |
Ω |
1.375965007838 |
Real period |
R |
0.93111544715552 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2499m1 62475ch1 |
Quadratic twists by: 5 -7 |