Atkin-Lehner |
2- 3- 7- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378bq |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
1320 |
Product of Tamagawa factors cp |
deg |
2872320 |
Modular degree for the optimal curve |
Δ |
-1287418432563357696 = -1 · 211 · 37 · 75 · 173 · 592 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -5 -1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26339,54621987] |
[a1,a2,a3,a4,a6] |
Generators |
[329:8862:1] [635:-17454:1] |
Generators of the group modulo torsion |
j |
-2771906472003817/1766006080333824 |
j-invariant |
L |
14.740810653845 |
L(r)(E,1)/r! |
Ω |
0.22002564127625 |
Real period |
R |
0.050754451814438 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999912879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42126e1 |
Quadratic twists by: -3 |