Atkin-Lehner |
2+ 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
14950g |
Isogeny class |
Conductor |
14950 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
10674673750000 = 24 · 57 · 135 · 23 |
Discriminant |
Eigenvalues |
2+ -3 5+ -3 -2 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16042,770116] |
[a1,a2,a3,a4,a6] |
Generators |
[18296352:-337439126:50653] [-91:1258:1] |
Generators of the group modulo torsion |
j |
29220958012401/683179120 |
j-invariant |
L |
3.0688334684198 |
L(r)(E,1)/r! |
Ω |
0.71979345181859 |
Real period |
R |
0.10658729461432 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119600bu1 2990i1 |
Quadratic twists by: -4 5 |