Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950dr |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-530712000000 = -1 · 29 · 36 · 56 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1570,25197] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-205:1] |
Generators of the group modulo torsion |
j |
37595375/46592 |
j-invariant |
L |
9.2636760180175 |
L(r)(E,1)/r! |
Ω |
0.62057760289639 |
Real period |
R |
0.82930590028676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4550b1 1638j1 |
Quadratic twists by: -3 5 |