Atkin-Lehner |
2- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20650bb |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
154560 |
Modular degree for the optimal curve |
Δ |
-6073629625000000 = -1 · 26 · 59 · 77 · 59 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 3 2 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-51513,-5878969] |
[a1,a2,a3,a4,a6] |
Generators |
[16095:349814:27] |
Generators of the group modulo torsion |
j |
-7740067156541/3109698368 |
j-invariant |
L |
10.823844873961 |
L(r)(E,1)/r! |
Ω |
0.1553732194483 |
Real period |
R |
5.8052930616545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20650o1 |
Quadratic twists by: 5 |