Atkin-Lehner |
2- 3+ 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
70950bo |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-21236963058432000 = -1 · 211 · 32 · 53 · 118 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- 1 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,31757,6677681] |
[a1,a2,a3,a4,a6] |
Generators |
[535:13042:1] |
Generators of the group modulo torsion |
j |
28335524208082363/169895704467456 |
j-invariant |
L |
9.5870492421008 |
L(r)(E,1)/r! |
Ω |
0.2770026792462 |
Real period |
R |
0.098323725313368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70950v1 |
Quadratic twists by: 5 |