Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400de |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
45927000000000 = 29 · 38 · 59 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18900075,-31625937250] |
[a1,a2,a3,a4,a6] |
Generators |
[-21252687509351730:-4768676893475:8467211182968] |
Generators of the group modulo torsion |
j |
128025588102048008/7875 |
j-invariant |
L |
6.0658464548194 |
L(r)(E,1)/r! |
Ω |
0.072407519982478 |
Real period |
R |
20.943427064948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400br4 100800ee4 16800f3 10080r2 |
Quadratic twists by: -4 8 -3 5 |