Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129888p |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-3511009610639112384 = -1 · 26 · 316 · 11 · 415 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 11+ -2 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9914853,-12016825504] |
[a1,a2,a3,a4,a6] |
Generators |
[141858458247733062803:6849366445874887231014:29114926810723853] |
Generators of the group modulo torsion |
j |
-2310335485704371030464/75253120941339 |
j-invariant |
L |
5.5534365367632 |
L(r)(E,1)/r! |
Ω |
0.042539966186618 |
Real period |
R |
32.636582927693 |
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 |
129888bc1 43296j1 |
Quadratic twists by: -4 -3 |