Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41745x |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
-30432105 = -1 · 37 · 5 · 112 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11- 2 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-96,441] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-15:1] |
Generators of the group modulo torsion |
j |
-809160649/251505 |
j-invariant |
L |
5.0884681547894 |
L(r)(E,1)/r! |
Ω |
1.9764053026677 |
Real period |
R |
0.36780108874022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125235bp1 41745v1 |
Quadratic twists by: -3 -11 |