Atkin-Lehner |
3+ 7+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
71757b |
Isogeny class |
Conductor |
71757 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
178746184701 = 39 · 7 · 172 · 672 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ -2 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1649,16228] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:215:1] |
Generators of the group modulo torsion |
j |
25179520491/9081247 |
j-invariant |
L |
4.4460148841849 |
L(r)(E,1)/r! |
Ω |
0.92856261616855 |
Real period |
R |
2.3940307348546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71757d2 |
Quadratic twists by: -3 |