Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950bm |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-55724760000000000 = -1 · 212 · 37 · 510 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-111042,18244116] |
[a1,a2,a3,a4,a6] |
Generators |
[180:-2106:1] |
Generators of the group modulo torsion |
j |
-13293525831769/4892160000 |
j-invariant |
L |
4.2247982424114 |
L(r)(E,1)/r! |
Ω |
0.33242239912457 |
Real period |
R |
1.5886407826081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650ct1 8190bq1 |
Quadratic twists by: -3 5 |