Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70602v |
Isogeny class |
Conductor |
70602 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-851036508 = -1 · 22 · 32 · 73 · 413 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,211,-673] |
[a1,a2,a3,a4,a6] |
Generators |
[11:50:1] |
Generators of the group modulo torsion |
j |
15069223/12348 |
j-invariant |
L |
7.5259711876872 |
L(r)(E,1)/r! |
Ω |
0.87666553649305 |
Real period |
R |
1.4307948458385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70602bf1 |
Quadratic twists by: 41 |