Atkin-Lehner |
3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475bn |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-6325698122296875 = -1 · 35 · 56 · 78 · 172 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 4 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-80033,-9544531] |
[a1,a2,a3,a4,a6] |
j |
-629407744/70227 |
j-invariant |
L |
2.8207225258647 |
L(r)(E,1)/r! |
Ω |
0.14103612641364 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2499a1 62475s1 |
Quadratic twists by: 5 -7 |