Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574s |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
332640 |
Modular degree for the optimal curve |
Δ |
-133459519487149548 = -1 · 22 · 33 · 78 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47556,-18028034] |
[a1,a2,a3,a4,a6] |
Generators |
[27719:4600959:1] |
Generators of the group modulo torsion |
j |
-9625/108 |
j-invariant |
L |
4.9974534836346 |
L(r)(E,1)/r! |
Ω |
0.13974890287239 |
Real period |
R |
5.9600390186939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
106722fm1 35574h1 35574cj1 |
Quadratic twists by: -3 -7 -11 |