Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7332a |
Isogeny class |
Conductor |
7332 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
9278440704 = 28 · 33 · 134 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 -3 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-525,153] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:26:1] |
Generators of the group modulo torsion |
j |
62630895616/36243909 |
j-invariant |
L |
4.0627311997474 |
L(r)(E,1)/r! |
Ω |
1.0946901547977 |
Real period |
R |
0.30927558070059 |
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 |
29328u1 117312t1 21996e1 95316c1 |
Quadratic twists by: -4 8 -3 13 |