Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950ee |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-829237500000 = -1 · 25 · 36 · 58 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7355,-244853] |
[a1,a2,a3,a4,a6] |
j |
-3862503009/72800 |
j-invariant |
L |
2.5747977900746 |
L(r)(E,1)/r! |
Ω |
0.25747977901553 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4550g1 8190s1 |
Quadratic twists by: -3 5 |