Atkin-Lehner |
2- 3- 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40626p |
Isogeny class |
Conductor |
40626 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
568320 |
Modular degree for the optimal curve |
Δ |
-121378745231179344 = -1 · 24 · 38 · 372 · 615 |
Discriminant |
Eigenvalues |
2- 3- -1 3 5 3 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-300533,65667165] |
[a1,a2,a3,a4,a6] |
j |
-4117857645079309321/166500336393936 |
j-invariant |
L |
5.2553179678141 |
L(r)(E,1)/r! |
Ω |
0.32845737298094 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13542c1 |
Quadratic twists by: -3 |