Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850co |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-11195912000000000 = -1 · 212 · 59 · 72 · 134 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -4 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,36987,-4276469] |
[a1,a2,a3,a4,a6] |
Generators |
[535:12732:1] |
Generators of the group modulo torsion |
j |
58471492723/116985856 |
j-invariant |
L |
6.0250331937755 |
L(r)(E,1)/r! |
Ω |
0.21054483478273 |
Real period |
R |
0.29808740024389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31850bj1 31850cf1 |
Quadratic twists by: 5 -7 |