Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83248ba |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
979200 |
Modular degree for the optimal curve |
Δ |
-17857926269579264 = -1 · 212 · 119 · 432 |
Discriminant |
Eigenvalues |
2- -1 -1 0 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1948261,1047361229] |
[a1,a2,a3,a4,a6] |
Generators |
[6346:5203:8] |
Generators of the group modulo torsion |
j |
-112706583998464/2461019 |
j-invariant |
L |
3.0869300353159 |
L(r)(E,1)/r! |
Ω |
0.35875624788099 |
Real period |
R |
2.1511332924197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5203a1 7568n1 |
Quadratic twists by: -4 -11 |