Atkin-Lehner |
2+ 3- 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70110v |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-956488362105600000 = -1 · 211 · 312 · 55 · 193 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 1 -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22855284,42061748688] |
[a1,a2,a3,a4,a6] |
Generators |
[2727:1674:1] |
Generators of the group modulo torsion |
j |
-1811156843149578655242049/1312055366400000 |
j-invariant |
L |
5.0485816607072 |
L(r)(E,1)/r! |
Ω |
0.23127840939289 |
Real period |
R |
1.091451137648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23370s1 |
Quadratic twists by: -3 |