Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
123210bs |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
168791040 |
Modular degree for the optimal curve |
Δ |
-2.0623294784594E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 3 -6 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,700787421,-20649741595115] |
[a1,a2,a3,a4,a6] |
j |
401734898254403/2176782336000 |
j-invariant |
L |
1.716835605502 |
L(r)(E,1)/r! |
Ω |
0.015896626640954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41070u1 123210da1 |
Quadratic twists by: -3 37 |