Atkin-Lehner |
2- 3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
40590bm |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
510720 |
Modular degree for the optimal curve |
Δ |
-18528329340211680 = -1 · 25 · 313 · 5 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11- -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,40342,5748617] |
[a1,a2,a3,a4,a6] |
Generators |
[237:5227:1] |
Generators of the group modulo torsion |
j |
9960440635264679/25416089629920 |
j-invariant |
L |
6.3054084188092 |
L(r)(E,1)/r! |
Ω |
0.27080425893635 |
Real period |
R |
0.19403339653193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13530h1 |
Quadratic twists by: -3 |