Atkin-Lehner |
2- 11+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
121264i |
Isogeny class |
Conductor |
121264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
996074314753232 = 24 · 114 · 134 · 533 |
Discriminant |
Eigenvalues |
2- -2 -2 0 11+ 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42809,3038122] |
[a1,a2,a3,a4,a6] |
Generators |
[34:1274:1] |
Generators of the group modulo torsion |
j |
542274426127040512/62254644672077 |
j-invariant |
L |
3.1492437508301 |
L(r)(E,1)/r! |
Ω |
0.47790375799103 |
Real period |
R |
3.2948514429471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999289256 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30316c1 |
Quadratic twists by: -4 |