Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656bf |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6193152 |
Modular degree for the optimal curve |
Δ |
-2.3568843386688E+19 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 3 6 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9239505,10809331371] |
[a1,a2,a3,a4,a6] |
j |
-8443986847157248/2281476213 |
j-invariant |
L |
6.6700156810839 |
L(r)(E,1)/r! |
Ω |
0.20843804782036 |
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 |
62328h1 124656o1 |
Quadratic twists by: -4 -7 |