Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42480cc |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-766573009920000 = -1 · 213 · 36 · 54 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -3 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22533,282026] |
[a1,a2,a3,a4,a6] |
Generators |
[757:21240:1] |
Generators of the group modulo torsion |
j |
423733973831/256723750 |
j-invariant |
L |
4.2982042190912 |
L(r)(E,1)/r! |
Ω |
0.31020264645002 |
Real period |
R |
0.14433455396982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999798 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5310q1 4720b1 |
Quadratic twists by: -4 -3 |