Atkin-Lehner |
2- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40964j |
Isogeny class |
Conductor |
40964 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-1259701332736 = -1 · 28 · 72 · 114 · 193 |
Discriminant |
Eigenvalues |
2- -2 1 7- 11- -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2595,-17249] |
[a1,a2,a3,a4,a6] |
Generators |
[109:-1254:1] |
Generators of the group modulo torsion |
j |
154004135936/100422619 |
j-invariant |
L |
4.3228119264151 |
L(r)(E,1)/r! |
Ω |
0.4918818920494 |
Real period |
R |
0.24411979991122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40964c1 |
Quadratic twists by: -7 |