Atkin-Lehner |
2- 3+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
73326z |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
116064 |
Modular degree for the optimal curve |
Δ |
-72983420928 = -1 · 213 · 36 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 11- -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10799,427637] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-254:1] |
Generators of the group modulo torsion |
j |
-1151042816548537/603168768 |
j-invariant |
L |
5.9508730583201 |
L(r)(E,1)/r! |
Ω |
1.0779338456565 |
Real period |
R |
0.21233189203692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73326h1 |
Quadratic twists by: -11 |