Atkin-Lehner |
2+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
40670b |
Isogeny class |
Conductor |
40670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-167467469050000 = -1 · 24 · 55 · 79 · 83 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 -2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8125,553125] |
[a1,a2,a3,a4,a6] |
Generators |
[86:1329:1] |
Generators of the group modulo torsion |
j |
1469878353/4150000 |
j-invariant |
L |
2.5088884232483 |
L(r)(E,1)/r! |
Ω |
0.40275004784411 |
Real period |
R |
1.5573483086315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40670f1 |
Quadratic twists by: -7 |