Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474ce |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
183456 |
Modular degree for the optimal curve |
Δ |
-57069288222336 = -1 · 27 · 36 · 13 · 196 |
Discriminant |
Eigenvalues |
2- 3- 1 1 2 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8732,482527] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:415:1] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
12.942352126767 |
L(r)(E,1)/r! |
Ω |
0.57574208866575 |
Real period |
R |
1.6056733412486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386f1 234a1 |
Quadratic twists by: -3 -19 |