Atkin-Lehner |
3+ 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
10065c |
Isogeny class |
Conductor |
10065 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2080 |
Modular degree for the optimal curve |
Δ |
-8967915 = -1 · 35 · 5 · 112 · 61 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 11- 6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-181,1011] |
[a1,a2,a3,a4,a6] |
Generators |
[9:5:1] |
Generators of the group modulo torsion |
j |
-659411697664/8967915 |
j-invariant |
L |
3.019732101607 |
L(r)(E,1)/r! |
Ω |
2.3204213203175 |
Real period |
R |
0.65068616530248 |
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 |
30195n1 50325x1 110715c1 |
Quadratic twists by: -3 5 -11 |