Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
27735i |
Isogeny class |
Conductor |
27735 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
183477562497225 = 33 · 52 · 437 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41641,-3208504] |
[a1,a2,a3,a4,a6] |
Generators |
[283:-2915:1] |
Generators of the group modulo torsion |
j |
1263214441/29025 |
j-invariant |
L |
2.5922762505189 |
L(r)(E,1)/r! |
Ω |
0.33467775416261 |
Real period |
R |
1.2909314598282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83205t1 645b1 |
Quadratic twists by: -3 -43 |