Atkin-Lehner |
3+ 7+ 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
28497a |
Isogeny class |
Conductor |
28497 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16512 |
Modular degree for the optimal curve |
Δ |
2427060993 = 3 · 72 · 234 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 0 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1238,16082] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-1:1] |
Generators of the group modulo torsion |
j |
209849322390625/2427060993 |
j-invariant |
L |
2.5407428972797 |
L(r)(E,1)/r! |
Ω |
1.456040875479 |
Real period |
R |
1.744966738275 |
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 |
85491j1 |
Quadratic twists by: -3 |