Atkin-Lehner |
5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63175q |
Isogeny class |
Conductor |
63175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2142720 |
Modular degree for the optimal curve |
Δ |
-262869465803217875 = -1 · 53 · 73 · 1910 |
Discriminant |
Eigenvalues |
2 3 5- 7+ 5 -5 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,131765,16418731] |
[a1,a2,a3,a4,a6] |
Generators |
[3772139408863562940:108788905496624143643:9415852361578944] |
Generators of the group modulo torsion |
j |
43022168064/44700103 |
j-invariant |
L |
22.410784775178 |
L(r)(E,1)/r! |
Ω |
0.20520202247702 |
Real period |
R |
27.303318584114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63175z1 3325h1 |
Quadratic twists by: 5 -19 |