Atkin-Lehner |
2- 3- 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70950br |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
4866048 |
Modular degree for the optimal curve |
Δ |
-4.474389528576E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30412688,64553332992] |
[a1,a2,a3,a4,a6] |
Generators |
[3232:-6416:1] |
Generators of the group modulo torsion |
j |
-199098554419711270541881/2863609298288640 |
j-invariant |
L |
12.03760043343 |
L(r)(E,1)/r! |
Ω |
0.18475956937701 |
Real period |
R |
0.33933741998997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190e1 |
Quadratic twists by: 5 |