Atkin-Lehner |
2+ 3- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80142j |
Isogeny class |
Conductor |
80142 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
309672 |
Modular degree for the optimal curve |
Δ |
-616718714431518 = -1 · 2 · 311 · 196 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 1 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6129,-1179944] |
[a1,a2,a3,a4,a6] |
j |
541343375/13108878 |
j-invariant |
L |
2.7392445026464 |
L(r)(E,1)/r! |
Ω |
0.24902222732076 |
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 |
222b1 |
Quadratic twists by: -19 |