Atkin-Lehner |
3- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68241l |
Isogeny class |
Conductor |
68241 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
38949120 |
Modular degree for the optimal curve |
Δ |
-1.7181423050785E+27 |
Discriminant |
Eigenvalues |
1 3- -3 2 -4 -3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-349667160,3211034396107] |
[a1,a2,a3,a4,a6] |
j |
-114132646764943657/41474462964489 |
j-invariant |
L |
2.1331474220505 |
L(r)(E,1)/r! |
Ω |
0.044440571559546 |
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 |
68241e1 |
Quadratic twists by: -23 |