Atkin-Lehner |
2- 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13266l |
Isogeny class |
Conductor |
13266 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
3002931270605376 = 26 · 33 · 1110 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-78674,8093713] |
[a1,a2,a3,a4,a6] |
Generators |
[221:1099:1] |
Generators of the group modulo torsion |
j |
1994566254758663139/111219676689088 |
j-invariant |
L |
7.9178350145883 |
L(r)(E,1)/r! |
Ω |
0.44395188789262 |
Real period |
R |
0.59449647814866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128v2 13266a2 |
Quadratic twists by: -4 -3 |