Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400hz |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-1.2111126300875E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -5 -5 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-454883,205040137] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:16807:1] |
Generators of the group modulo torsion |
j |
-88478050816/102942875 |
j-invariant |
L |
2.5229367785924 |
L(r)(E,1)/r! |
Ω |
0.20439645531745 |
Real period |
R |
1.5429186237224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400ho1 39200bv1 15680dn1 11200ck1 |
Quadratic twists by: -4 8 5 -7 |