Atkin-Lehner |
2- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1862d |
Isogeny class |
Conductor |
1862 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
-112159968256 = -1 · 210 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 0 1 7+ -5 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-622,-17027] |
[a1,a2,a3,a4,a6] |
Generators |
[37:79:1] |
Generators of the group modulo torsion |
j |
-4609521/19456 |
j-invariant |
L |
4.1347186148116 |
L(r)(E,1)/r! |
Ω |
0.43513034552564 |
Real period |
R |
0.31674176541414 |
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 |
14896w1 59584a1 16758f1 46550c1 |
Quadratic twists by: -4 8 -3 5 |