Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890ga |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
3008538298886400 = 28 · 39 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38597,-1236931] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:576:1] |
Generators of the group modulo torsion |
j |
74140932601/35078400 |
j-invariant |
L |
13.527897242369 |
L(r)(E,1)/r! |
Ω |
0.35676046090917 |
Real period |
R |
1.1849597501608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42630bo1 18270bl1 |
Quadratic twists by: -3 -7 |