Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
63480c |
Isogeny class |
Conductor |
63480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-4797991065600 = -1 · 211 · 311 · 52 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 5 -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-360,-105300] |
[a1,a2,a3,a4,a6] |
Generators |
[6010:164545:8] |
Generators of the group modulo torsion |
j |
-4775858/4428675 |
j-invariant |
L |
5.0335859792539 |
L(r)(E,1)/r! |
Ω |
0.34752155280664 |
Real period |
R |
7.2421205802343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126960s1 63480a1 |
Quadratic twists by: -4 -23 |