Atkin-Lehner |
2- 3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
31020l |
Isogeny class |
Conductor |
31020 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-1313342677152000 = -1 · 28 · 33 · 53 · 114 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27140,289508] |
[a1,a2,a3,a4,a6] |
Generators |
[196:3630:1] |
Generators of the group modulo torsion |
j |
8635694590128944/5130244832625 |
j-invariant |
L |
7.0524822457821 |
L(r)(E,1)/r! |
Ω |
0.29453286705174 |
Real period |
R |
1.3302575469151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
124080bo1 93060l1 |
Quadratic twists by: -4 -3 |