Atkin-Lehner |
2- 3- 5- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710bh |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-1700030840832000000 = -1 · 224 · 34 · 56 · 23 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-717505,242135177] |
[a1,a2,a3,a4,a6] |
Generators |
[434:-3757:1] |
Generators of the group modulo torsion |
j |
-40850609950133742917521/1700030840832000000 |
j-invariant |
L |
12.336829259307 |
L(r)(E,1)/r! |
Ω |
0.26349174563579 |
Real period |
R |
0.16257136481657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122130n1 |
Quadratic twists by: -3 |