Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096c |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-15935493485657088 = -1 · 210 · 36 · 79 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -4 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,62312,1001344] |
[a1,a2,a3,a4,a6] |
Generators |
[30:1702:1] [76:2484:1] |
Generators of the group modulo torsion |
j |
647514500/385641 |
j-invariant |
L |
8.057499749439 |
L(r)(E,1)/r! |
Ω |
0.23946440046302 |
Real period |
R |
4.2060008365852 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27048t1 54096o1 |
Quadratic twists by: -4 -7 |