Atkin-Lehner |
2+ 3+ 31+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10974a |
Isogeny class |
Conductor |
10974 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5472 |
Modular degree for the optimal curve |
Δ |
-62156736 = -1 · 26 · 32 · 31 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 -2 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-151,-875] |
[a1,a2,a3,a4,a6] |
Generators |
[22:73:1] |
Generators of the group modulo torsion |
j |
-384716455417/62156736 |
j-invariant |
L |
2.4312360785792 |
L(r)(E,1)/r! |
Ω |
0.67439742731902 |
Real period |
R |
1.8025247280704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87792i1 32922h1 |
Quadratic twists by: -4 -3 |