Atkin-Lehner |
2- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40432r |
Isogeny class |
Conductor |
40432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
-5395598000128 = -1 · 214 · 7 · 196 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 0 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3008,127540] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:368:1] |
Generators of the group modulo torsion |
j |
-15625/28 |
j-invariant |
L |
3.9261387597284 |
L(r)(E,1)/r! |
Ω |
0.68182652834943 |
Real period |
R |
2.8791331786625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5054c1 112c1 |
Quadratic twists by: -4 -19 |