Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
41328s |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-373483450368 = -1 · 212 · 33 · 72 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 3 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2400,-53968] |
[a1,a2,a3,a4,a6] |
Generators |
[193:2583:1] |
Generators of the group modulo torsion |
j |
-13824000000/3377129 |
j-invariant |
L |
5.6807487081487 |
L(r)(E,1)/r! |
Ω |
0.33670933509084 |
Real period |
R |
1.4059477310035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2583b1 41328n2 |
Quadratic twists by: -4 -3 |