Atkin-Lehner |
17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
37553d |
Isogeny class |
Conductor |
37553 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
252672 |
Modular degree for the optimal curve |
Δ |
-19025218042747039 = -1 · 17 · 479 |
Discriminant |
Eigenvalues |
-1 -2 2 2 4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2163,-6635960] |
[a1,a2,a3,a4,a6] |
Generators |
[2141724785505933120:156114657951302975695:397649103814656] |
Generators of the group modulo torsion |
j |
1/17 |
j-invariant |
L |
2.7654348666639 |
L(r)(E,1)/r! |
Ω |
0.17827734562843 |
Real period |
R |
31.023962768989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37553e1 |
Quadratic twists by: -47 |