Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656bw |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
6727897986367488 = 220 · 3 · 79 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47448,-485904] |
[a1,a2,a3,a4,a6] |
Generators |
[-4732:103447:64] |
Generators of the group modulo torsion |
j |
71473375/40704 |
j-invariant |
L |
5.7834546036672 |
L(r)(E,1)/r! |
Ω |
0.34976849933003 |
Real period |
R |
8.2675464764805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999225852 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15582h1 124656dh1 |
Quadratic twists by: -4 -7 |