Atkin-Lehner |
2+ 3+ 5- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
104130g |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
-35075293949030400 = -1 · 212 · 39 · 52 · 133 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-255084,50463440] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:9192:1] |
Generators of the group modulo torsion |
j |
-93257341993429587/1782009548800 |
j-invariant |
L |
4.8677240834528 |
L(r)(E,1)/r! |
Ω |
0.3674198935349 |
Real period |
R |
3.3120988896276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995556 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104130bc1 |
Quadratic twists by: -3 |