Atkin-Lehner |
2+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
71744d |
Isogeny class |
Conductor |
71744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26752 |
Modular degree for the optimal curve |
Δ |
-4232896 = -1 · 26 · 19 · 592 |
Discriminant |
Eigenvalues |
2+ -2 -3 -5 -5 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,33,79] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-59:1] [6:23:1] |
Generators of the group modulo torsion |
j |
60236288/66139 |
j-invariant |
L |
3.5408364758185 |
L(r)(E,1)/r! |
Ω |
1.6353022852622 |
Real period |
R |
1.0826244504563 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71744c1 35872a1 |
Quadratic twists by: -4 8 |