Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
3952h |
Isogeny class |
Conductor |
3952 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
-112873072 = -1 · 24 · 135 · 19 |
Discriminant |
Eigenvalues |
2- -2 4 -2 0 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,114,247] |
[a1,a2,a3,a4,a6] |
Generators |
[3:25:1] |
Generators of the group modulo torsion |
j |
10150866176/7054567 |
j-invariant |
L |
3.0662812048369 |
L(r)(E,1)/r! |
Ω |
1.1841052164958 |
Real period |
R |
2.5895344114022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
988a1 15808t1 35568bw1 98800ce1 |
Quadratic twists by: -4 8 -3 5 |