Atkin-Lehner |
3+ 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
110925i |
Isogeny class |
Conductor |
110925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-164058075 = -1 · 33 · 52 · 172 · 292 |
Discriminant |
Eigenvalues |
0 3+ 5+ -3 -4 3 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6450,-199384] |
[a1,a2,a3,a4,a6] |
Generators |
[114:739:1] |
Generators of the group modulo torsion |
j |
-43964190720000/243049 |
j-invariant |
L |
3.0427810925804 |
L(r)(E,1)/r! |
Ω |
0.26636642768407 |
Real period |
R |
1.4279113163109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110925b1 110925k1 |
Quadratic twists by: -3 5 |