Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382cs |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-127730067211296 = -1 · 25 · 315 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 11- -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11956,-209041] |
[a1,a2,a3,a4,a6] |
Generators |
[51:703:1] |
Generators of the group modulo torsion |
j |
17709945143/11967264 |
j-invariant |
L |
5.2143051895675 |
L(r)(E,1)/r! |
Ω |
0.33269182418937 |
Real period |
R |
0.78365394194244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794s1 41382y1 |
Quadratic twists by: -3 -11 |