Atkin-Lehner |
2- 3- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
26130z |
Isogeny class |
Conductor |
26130 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
5435040000000000 = 214 · 3 · 510 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-134041,18541625] |
[a1,a2,a3,a4,a6] |
Generators |
[154:1171:1] |
Generators of the group modulo torsion |
j |
266340304661441192209/5435040000000000 |
j-invariant |
L |
10.029620189887 |
L(r)(E,1)/r! |
Ω |
0.42878555499382 |
Real period |
R |
1.6707686016735 |
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 |
78390bb1 |
Quadratic twists by: -3 |