Atkin-Lehner |
2+ 3+ 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13110g |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
171872100 = 22 · 32 · 52 · 192 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-237,1161] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:54:1] |
Generators of the group modulo torsion |
j |
1481933914201/171872100 |
j-invariant |
L |
3.0690508060532 |
L(r)(E,1)/r! |
Ω |
1.7490124133492 |
Real period |
R |
0.87736678785951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
104880da2 39330bn2 65550cg2 |
Quadratic twists by: -4 -3 5 |