Atkin-Lehner |
2+ 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
31312f |
Isogeny class |
Conductor |
31312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
500992 = 28 · 19 · 103 |
Discriminant |
Eigenvalues |
2+ -1 -4 -1 2 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20,16] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] [0:4:1] |
Generators of the group modulo torsion |
j |
3631696/1957 |
j-invariant |
L |
5.3828424412106 |
L(r)(E,1)/r! |
Ω |
2.5694632773082 |
Real period |
R |
1.0474643651748 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15656c1 125248x1 |
Quadratic twists by: -4 8 |