Atkin-Lehner |
2- 3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
93060s |
Isogeny class |
Conductor |
93060 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1271808 |
Modular degree for the optimal curve |
Δ |
-455634234371012400 = -1 · 24 · 318 · 52 · 113 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-509952,-143878979] |
[a1,a2,a3,a4,a6] |
Generators |
[703984525:28772849304:357911] |
Generators of the group modulo torsion |
j |
-1257372910222311424/39063291698475 |
j-invariant |
L |
5.4219894277725 |
L(r)(E,1)/r! |
Ω |
0.089164741725989 |
Real period |
R |
15.202167739866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999759707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31020k1 |
Quadratic twists by: -3 |