Atkin-Lehner |
3+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
63291a |
Isogeny class |
Conductor |
63291 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-589598815348107 = -1 · 39 · 177 · 73 |
Discriminant |
Eigenvalues |
0 3+ 0 1 -6 -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-55873,5234547] |
[a1,a2,a3,a4,a6] |
Generators |
[125:433:1] |
Generators of the group modulo torsion |
j |
-799178752000/24426603 |
j-invariant |
L |
2.0492812692977 |
L(r)(E,1)/r! |
Ω |
0.51394953197144 |
Real period |
R |
1.9936600211802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3723c1 |
Quadratic twists by: 17 |