Atkin-Lehner |
2+ 3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650b |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2092921875000 = -1 · 23 · 33 · 59 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11+ 0 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1350,67500] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:150:1] |
Generators of the group modulo torsion |
j |
17394111071/133947000 |
j-invariant |
L |
3.2251494311823 |
L(r)(E,1)/r! |
Ω |
0.6022416299387 |
Real period |
R |
1.3388104007332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13530t1 |
Quadratic twists by: 5 |