Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314g |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5521852768206760128 = 26 · 39 · 1110 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11- 13- -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16326705291,-802959676523515] |
[a1,a2,a3,a4,a6] |
Generators |
[-8127879801077415126213032952070058353:4063682829636680190098802782929701615:110176779828503623470188040686899] |
Generators of the group modulo torsion |
j |
13802951728468271053322091/158357056 |
j-invariant |
L |
5.0271976442313 |
L(r)(E,1)/r! |
Ω |
0.013355954052235 |
Real period |
R |
47.050154790234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28314bj2 2574q2 |
Quadratic twists by: -3 -11 |