Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600du |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
171506304000000000 = 216 · 32 · 59 · 533 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6211208,-5960198412] |
[a1,a2,a3,a4,a6] |
Generators |
[-114256676:9140274:79507] |
Generators of the group modulo torsion |
j |
3312546735495509/21438288 |
j-invariant |
L |
9.9558278971359 |
L(r)(E,1)/r! |
Ω |
0.095632541857253 |
Real period |
R |
8.675418520212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7950i1 63600cp1 |
Quadratic twists by: -4 5 |