Atkin-Lehner |
3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475be |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-771762733875 = -1 · 32 · 53 · 79 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 4 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2287,3128] |
[a1,a2,a3,a4,a6] |
Generators |
[82:857:1] |
Generators of the group modulo torsion |
j |
262144/153 |
j-invariant |
L |
4.2728690689827 |
L(r)(E,1)/r! |
Ω |
0.54243863770875 |
Real period |
R |
0.98464341676786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475cs1 62475ct1 |
Quadratic twists by: 5 -7 |