Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
6300l |
Isogeny class |
Conductor |
6300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-64584843750000 = -1 · 24 · 310 · 510 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9375,165625] |
[a1,a2,a3,a4,a6] |
j |
800000/567 |
j-invariant |
L |
2.3607192955509 |
L(r)(E,1)/r! |
Ω |
0.39345321592515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25200dq1 100800eq1 2100l1 6300t1 |
Quadratic twists by: -4 8 -3 5 |