Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14350q |
Isogeny class |
Conductor |
14350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
12556250000 = 24 · 58 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 6 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-880,-8253] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:35:1] |
Generators of the group modulo torsion |
j |
4818245769/803600 |
j-invariant |
L |
7.6479572245945 |
L(r)(E,1)/r! |
Ω |
0.88656872192995 |
Real period |
R |
1.0783085726205 |
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 |
114800bb1 129150bq1 2870a1 100450bq1 |
Quadratic twists by: -4 -3 5 -7 |