Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
6390l |
Isogeny class |
Conductor |
6390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-3773231100 = -1 · 22 · 312 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,171,2785] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:47:1] |
Generators of the group modulo torsion |
j |
756058031/5175900 |
j-invariant |
L |
3.4371791614945 |
L(r)(E,1)/r! |
Ω |
1.0159490543552 |
Real period |
R |
0.84580500044763 |
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 |
51120bs1 2130h1 31950cc1 |
Quadratic twists by: -4 -3 5 |