Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
11850k |
Isogeny class |
Conductor |
11850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
17064000 = 26 · 33 · 53 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -2 6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-235,-1475] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:8:1] |
Generators of the group modulo torsion |
j |
11558505581/136512 |
j-invariant |
L |
2.2265802698531 |
L(r)(E,1)/r! |
Ω |
1.2195575637491 |
Real period |
R |
1.8257279000494 |
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 |
94800dh1 35550cg1 11850bf1 |
Quadratic twists by: -4 -3 5 |