Atkin-Lehner |
2- 3+ 5- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
110550bt |
Isogeny class |
Conductor |
110550 |
Conductor |
∏ cp |
258 |
Product of Tamagawa factors cp |
deg |
57734208 |
Modular degree for the optimal curve |
Δ |
3.9379563850821E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-495417363,-2983216545519] |
[a1,a2,a3,a4,a6] |
Generators |
[-248847:24274426:27] |
Generators of the group modulo torsion |
j |
21515793370286421232209493825/6300730216131284195868672 |
j-invariant |
L |
9.5176026672176 |
L(r)(E,1)/r! |
Ω |
0.03271935724807 |
Real period |
R |
1.1274650852053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999759056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110550p1 |
Quadratic twists by: 5 |