Atkin-Lehner |
2- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
35770u |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1202372780 = -1 · 22 · 5 · 77 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -4 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1716,-28127] |
[a1,a2,a3,a4,a6] |
Generators |
[49:67:1] |
Generators of the group modulo torsion |
j |
-4750104241/10220 |
j-invariant |
L |
5.8571098471024 |
L(r)(E,1)/r! |
Ω |
0.37083689175184 |
Real period |
R |
3.9485754905834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5110g1 |
Quadratic twists by: -7 |