Atkin-Lehner |
2- 3+ 5- 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
40290x |
Isogeny class |
Conductor |
40290 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-143240695143750 = -1 · 2 · 310 · 55 · 173 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 5 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-51625,-4572883] |
[a1,a2,a3,a4,a6] |
j |
-15216137773459434001/143240695143750 |
j-invariant |
L |
4.7482316934254 |
L(r)(E,1)/r! |
Ω |
0.15827438977999 |
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 |
120870c1 |
Quadratic twists by: -3 |