Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382bd |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-5563814783076 = -1 · 22 · 36 · 114 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 11- -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-201669,34909001] |
[a1,a2,a3,a4,a6] |
Generators |
[355:-2999:1] [260:-111:1] |
Generators of the group modulo torsion |
j |
-84985354223649/521284 |
j-invariant |
L |
6.4716407880173 |
L(r)(E,1)/r! |
Ω |
0.67801396043954 |
Real period |
R |
0.19885409094371 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598q1 41382bv1 |
Quadratic twists by: -3 -11 |