Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5200v |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
3250000 = 24 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100,375] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:12:1] |
Generators of the group modulo torsion |
j |
442368/13 |
j-invariant |
L |
3.546002141464 |
L(r)(E,1)/r! |
Ω |
2.5064665873041 |
Real period |
R |
2.8294828739593 |
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 |
1300b1 20800cg1 46800eb1 208c2 |
Quadratic twists by: -4 8 -3 5 |