Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2600k |
Isogeny class |
Conductor |
2600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
14060800 = 28 · 52 · 133 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 -2 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100,340] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:26:1] |
Generators of the group modulo torsion |
j |
17280000/2197 |
j-invariant |
L |
1.8237319880855 |
L(r)(E,1)/r! |
Ω |
2.148363162138 |
Real period |
R |
0.14148228600471 |
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 |
5200g1 20800p1 23400q1 2600e1 |
Quadratic twists by: -4 8 -3 5 |