Atkin-Lehner |
2- 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
57498n |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
1921423085568 = 212 · 33 · 73 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7928,-266695] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:109:1] |
Generators of the group modulo torsion |
j |
1087959899125/37933056 |
j-invariant |
L |
8.265583305895 |
L(r)(E,1)/r! |
Ω |
0.50703464579574 |
Real period |
R |
2.7169686116718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999421 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57498d1 |
Quadratic twists by: 37 |