Atkin-Lehner |
2- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
40670n |
Isogeny class |
Conductor |
40670 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-2709993717760 = -1 · 215 · 5 · 74 · 832 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -3 7 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2694,-57884] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-698:1] |
Generators of the group modulo torsion |
j |
900563312831/1128693760 |
j-invariant |
L |
5.0065981764344 |
L(r)(E,1)/r! |
Ω |
0.43253194673051 |
Real period |
R |
0.38583648477931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40670z1 |
Quadratic twists by: -7 |