Atkin-Lehner |
3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
4575g |
Isogeny class |
Conductor |
4575 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
-79760193172875 = -1 · 321 · 53 · 61 |
Discriminant |
Eigenvalues |
0 3- 5- 1 -4 4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,4957,-406501] |
[a1,a2,a3,a4,a6] |
Generators |
[643:16402:1] |
Generators of the group modulo torsion |
j |
107741456072704/638081545383 |
j-invariant |
L |
3.7343925729371 |
L(r)(E,1)/r! |
Ω |
0.30515267945573 |
Real period |
R |
0.29137580911313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73200bx1 13725h1 4575c1 |
Quadratic twists by: -4 -3 5 |