Atkin-Lehner |
2- 3- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
38628d |
Isogeny class |
Conductor |
38628 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-7409159424 = -1 · 28 · 36 · 29 · 372 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -5 7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2223,-40554] |
[a1,a2,a3,a4,a6] |
j |
-6509904336/39701 |
j-invariant |
L |
2.085103607033 |
L(r)(E,1)/r! |
Ω |
0.34751726783677 |
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 |
4292c1 |
Quadratic twists by: -3 |