Atkin-Lehner |
3+ 5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
35955c |
Isogeny class |
Conductor |
35955 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
1833705 = 33 · 5 · 172 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32,-14] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:4:1] |
Generators of the group modulo torsion |
j |
130323843/67915 |
j-invariant |
L |
3.7134774561258 |
L(r)(E,1)/r! |
Ω |
2.130959983259 |
Real period |
R |
1.7426312484983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35955a1 |
Quadratic twists by: -3 |