Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
41328w |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-10457536610304 = -1 · 214 · 33 · 73 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 0 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-406131,-99620302] |
[a1,a2,a3,a4,a6] |
Generators |
[92795:353502:125] |
Generators of the group modulo torsion |
j |
-66988217452346091/94559612 |
j-invariant |
L |
7.3904572246759 |
L(r)(E,1)/r! |
Ω |
0.094559025342191 |
Real period |
R |
6.5130899262203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5166f1 41328r2 |
Quadratic twists by: -4 -3 |