Atkin-Lehner |
2- 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
96628f |
Isogeny class |
Conductor |
96628 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-520501418732288 = -1 · 28 · 73 · 172 · 295 |
Discriminant |
Eigenvalues |
2- 1 0 7- 0 -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5133,-1108465] |
[a1,a2,a3,a4,a6] |
Generators |
[121:238:1] [937:28594:1] |
Generators of the group modulo torsion |
j |
-170368000000/5927722061 |
j-invariant |
L |
12.751327927315 |
L(r)(E,1)/r! |
Ω |
0.22728222996133 |
Real period |
R |
0.93505828487264 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96628o1 |
Quadratic twists by: -7 |