Atkin-Lehner |
2+ 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
68770b |
Isogeny class |
Conductor |
68770 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36458496 |
Modular degree for the optimal curve |
Δ |
-3.560988621506E+26 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 2 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2280878290,41938122441300] |
[a1,a2,a3,a4,a6] |
Generators |
[77465:18129905:1] |
Generators of the group modulo torsion |
j |
-728583820222936425903/197706096640000 |
j-invariant |
L |
4.6518929351029 |
L(r)(E,1)/r! |
Ω |
0.052570225843702 |
Real period |
R |
7.3740931953315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68770g1 |
Quadratic twists by: -23 |