Atkin-Lehner |
2+ 3- 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
40290r |
Isogeny class |
Conductor |
40290 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-578636068455383040 = -1 · 216 · 36 · 5 · 173 · 793 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-66784,37190702] |
[a1,a2,a3,a4,a6] |
j |
-32940610680921681529/578636068455383040 |
j-invariant |
L |
2.9406937461066 |
L(r)(E,1)/r! |
Ω |
0.24505781218327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
120870bh1 |
Quadratic twists by: -3 |