Atkin-Lehner |
2+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103400d |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-1423046636000000 = -1 · 28 · 56 · 115 · 472 |
Discriminant |
Eigenvalues |
2+ 3 5+ 2 11+ -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28100,-83500] |
[a1,a2,a3,a4,a6] |
Generators |
[18282:490022:27] |
Generators of the group modulo torsion |
j |
613454957568/355761659 |
j-invariant |
L |
13.764268839061 |
L(r)(E,1)/r! |
Ω |
0.2846242607491 |
Real period |
R |
6.0449295287083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4136f1 |
Quadratic twists by: 5 |