Atkin-Lehner |
2+ 3+ 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70950g |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
-106316020800 = -1 · 26 · 33 · 52 · 113 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 11- -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1060,-7920] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-252:1] [16:108:1] |
Generators of the group modulo torsion |
j |
5260911151055/4252640832 |
j-invariant |
L |
5.7392274125836 |
L(r)(E,1)/r! |
Ω |
0.58712601507201 |
Real period |
R |
0.81459335605815 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70950cf1 |
Quadratic twists by: 5 |