Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
107800bb |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-182613200000000 = -1 · 210 · 58 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 11+ 2 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87208,-9962912] |
[a1,a2,a3,a4,a6] |
Generators |
[1908:82300:1] |
Generators of the group modulo torsion |
j |
-534617980/1331 |
j-invariant |
L |
7.4232201218497 |
L(r)(E,1)/r! |
Ω |
0.13888818112619 |
Real period |
R |
4.4539547628288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107800bq1 107800bc1 |
Quadratic twists by: 5 -7 |