Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
63600x |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
34773300000000 = 28 · 38 · 58 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -1 -2 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10833,-332037] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:225:1] |
Generators of the group modulo torsion |
j |
1406080000/347733 |
j-invariant |
L |
7.819941128734 |
L(r)(E,1)/r! |
Ω |
0.47642679969823 |
Real period |
R |
0.68390544055124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31800t1 63600c1 |
Quadratic twists by: -4 5 |