Atkin-Lehner |
3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
40401i |
Isogeny class |
Conductor |
40401 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119680 |
Modular degree for the optimal curve |
Δ |
-38840582844369 = -1 · 317 · 673 |
Discriminant |
Eigenvalues |
1 3- 3 -1 6 4 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4887,-270702] |
[a1,a2,a3,a4,a6] |
j |
58863869/177147 |
j-invariant |
L |
5.3055822316036 |
L(r)(E,1)/r! |
Ω |
0.3315988894827 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13467h1 40401k1 |
Quadratic twists by: -3 -67 |