Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560dg |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
-130798796800000 = -1 · 217 · 55 · 75 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -3 -1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11935,229663] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:245:1] [7:560:1] |
Generators of the group modulo torsion |
j |
1434315418702/997915625 |
j-invariant |
L |
7.0899178825041 |
L(r)(E,1)/r! |
Ω |
0.36993976970284 |
Real period |
R |
0.19165059999362 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42560bf1 10640c1 |
Quadratic twists by: -4 8 |