Atkin-Lehner |
2- 3+ 5- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
40710u |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-37096987500 = -1 · 22 · 37 · 55 · 23 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 2 -3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,785,4097] |
[a1,a2,a3,a4,a6] |
Generators |
[7:96:1] |
Generators of the group modulo torsion |
j |
53493141597839/37096987500 |
j-invariant |
L |
9.172552955329 |
L(r)(E,1)/r! |
Ω |
0.73032479888964 |
Real period |
R |
1.2559552912997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122130u1 |
Quadratic twists by: -3 |