Atkin-Lehner |
2- 3+ 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13110be |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-477859500 = -1 · 22 · 37 · 53 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -1 -3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-70,-1105] |
[a1,a2,a3,a4,a6] |
Generators |
[13:13:1] |
Generators of the group modulo torsion |
j |
-37966934881/477859500 |
j-invariant |
L |
6.8796650039046 |
L(r)(E,1)/r! |
Ω |
0.70867463183625 |
Real period |
R |
1.6179651175224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104880cz1 39330o1 65550bf1 |
Quadratic twists by: -4 -3 5 |