Atkin-Lehner |
7+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28861b |
Isogeny class |
Conductor |
28861 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
140784 |
Modular degree for the optimal curve |
Δ |
-101154380902099 = -1 · 78 · 19 · 314 |
Discriminant |
Eigenvalues |
2 -2 2 7+ 1 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5602,-511969] |
[a1,a2,a3,a4,a6] |
Generators |
[2838875095262:-77399112912831:3781833112] |
Generators of the group modulo torsion |
j |
-3373232128/17546899 |
j-invariant |
L |
8.9306954906812 |
L(r)(E,1)/r! |
Ω |
0.24860830156235 |
Real period |
R |
17.961378269666 |
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 |
28861h1 |
Quadratic twists by: -7 |