Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475x |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
3281304140625 = 3 · 57 · 77 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45963,3772656] |
[a1,a2,a3,a4,a6] |
Generators |
[134:138:1] |
Generators of the group modulo torsion |
j |
5841725401/1785 |
j-invariant |
L |
3.112361914474 |
L(r)(E,1)/r! |
Ω |
0.77847122334279 |
Real period |
R |
3.9980436286307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997302 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12495j1 8925r1 |
Quadratic twists by: 5 -7 |