Atkin-Lehner |
2- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103400bb |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
2289742592500000000 = 28 · 510 · 117 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 11- -3 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6027708,-5697628912] |
[a1,a2,a3,a4,a6] |
Generators |
[-1418:682:1] |
Generators of the group modulo torsion |
j |
9688139696894800/915897037 |
j-invariant |
L |
7.4899286845341 |
L(r)(E,1)/r! |
Ω |
0.096352715944407 |
Real period |
R |
2.7762315767601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103400s1 |
Quadratic twists by: 5 |