Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6650b |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
7866449920000000000 = 224 · 510 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 3 7 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8257200,9128224000] |
[a1,a2,a3,a4,a6] |
j |
6375616158287489425/805524471808 |
j-invariant |
L |
1.3509219140166 |
L(r)(E,1)/r! |
Ω |
0.2251536523361 |
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 |
53200cf1 59850et1 6650bh1 46550i1 |
Quadratic twists by: -4 -3 5 -7 |