Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850bm |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
9367801625000000 = 26 · 59 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64951,-4353702] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:1436:1] |
Generators of the group modulo torsion |
j |
131872229/40768 |
j-invariant |
L |
1.8530531404807 |
L(r)(E,1)/r! |
Ω |
0.30627969892008 |
Real period |
R |
1.512549760084 |
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 |
31850cq1 4550n1 |
Quadratic twists by: 5 -7 |