Atkin-Lehner |
2- 3- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
24648m |
Isogeny class |
Conductor |
24648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
3003142538448 = 24 · 34 · 135 · 792 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-123527,16669242] |
[a1,a2,a3,a4,a6] |
Generators |
[199:87:1] |
Generators of the group modulo torsion |
j |
13028455316679006208/187696408653 |
j-invariant |
L |
7.1929473029168 |
L(r)(E,1)/r! |
Ω |
0.73179659044938 |
Real period |
R |
2.4572905219809 |
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 |
49296d1 73944i1 |
Quadratic twists by: -4 -3 |