Atkin-Lehner |
2- 5+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
50840i |
Isogeny class |
Conductor |
50840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
252166400 = 28 · 52 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -4 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-383,-2782] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:10:1] |
Generators of the group modulo torsion |
j |
24270575184/985025 |
j-invariant |
L |
3.0718750103773 |
L(r)(E,1)/r! |
Ω |
1.0818964219461 |
Real period |
R |
0.70983574490723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101680d1 |
Quadratic twists by: -4 |