Atkin-Lehner |
2+ 3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13110q |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-1638750 = -1 · 2 · 3 · 54 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17,56] |
[a1,a2,a3,a4,a6] |
Generators |
[0:7:1] |
Generators of the group modulo torsion |
j |
590589719/1638750 |
j-invariant |
L |
4.621359442694 |
L(r)(E,1)/r! |
Ω |
1.8712916039506 |
Real period |
R |
0.61740236435326 |
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 |
104880cg1 39330bi1 65550bo1 |
Quadratic twists by: -4 -3 5 |