Atkin-Lehner |
2- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52514s |
Isogeny class |
Conductor |
52514 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
18273024 |
Modular degree for the optimal curve |
Δ |
-4.4393641118447E+25 |
Discriminant |
Eigenvalues |
2- -2 1 7+ 11- 3 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-97269785,488975733049] |
[a1,a2,a3,a4,a6] |
Generators |
[-7590:892627:1] |
Generators of the group modulo torsion |
j |
-474805891285352176561/207099612161376256 |
j-invariant |
L |
7.5751678110442 |
L(r)(E,1)/r! |
Ω |
0.059917834783635 |
Real period |
R |
0.75253528022307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52514o1 |
Quadratic twists by: -11 |