Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
438a |
Isogeny class |
Conductor |
438 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
13950517248 = 218 · 36 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-938,-9564] |
[a1,a2,a3,a4,a6] |
j |
91276959390625/13950517248 |
j-invariant |
L |
2.6145898482891 |
L(r)(E,1)/r! |
Ω |
0.8715299494297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
3504p1 14016j1 1314a1 10950b1 |
Quadratic twists by: -4 8 -3 5 |