Atkin-Lehner |
2+ 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24528c |
Isogeny class |
Conductor |
24528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
32965632 = 210 · 32 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1184,16080] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:126:1] [22:-14:1] |
Generators of the group modulo torsion |
j |
179409573508/32193 |
j-invariant |
L |
6.3154356846785 |
L(r)(E,1)/r! |
Ω |
2.011961125994 |
Real period |
R |
0.7847362957323 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12264b1 98112cb1 73584h1 |
Quadratic twists by: -4 8 -3 |