Atkin-Lehner |
3- 11+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70587g |
Isogeny class |
Conductor |
70587 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-1878265647423 = -1 · 39 · 11 · 234 · 31 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,139,65900] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:199:1] |
Generators of the group modulo torsion |
j |
410172407/2576496087 |
j-invariant |
L |
2.0400573306838 |
L(r)(E,1)/r! |
Ω |
0.65602462960471 |
Real period |
R |
3.1097267355975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000388 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23529f1 |
Quadratic twists by: -3 |