Atkin-Lehner |
2- 3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31020k |
Isogeny class |
Conductor |
31020 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
158976 |
Modular degree for the optimal curve |
Δ |
-625012667175600 = -1 · 24 · 312 · 52 · 113 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56661,5309964] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:-2673:1] [-231:2475:1] |
Generators of the group modulo torsion |
j |
-1257372910222311424/39063291698475 |
j-invariant |
L |
8.648060299333 |
L(r)(E,1)/r! |
Ω |
0.51135402375672 |
Real period |
R |
0.15659333589076 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080bg1 93060s1 |
Quadratic twists by: -4 -3 |