Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
65598v |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1176000 |
Modular degree for the optimal curve |
Δ |
-1291096610958820224 = -1 · 27 · 3 · 1310 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 0 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,216714,38571507] |
[a1,a2,a3,a4,a6] |
Generators |
[5151:368717:1] |
Generators of the group modulo torsion |
j |
46151997007006099/52937660870016 |
j-invariant |
L |
8.0668318009612 |
L(r)(E,1)/r! |
Ω |
0.18116713290611 |
Real period |
R |
1.5902505666248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65598f1 |
Quadratic twists by: 29 |