Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ca |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.9168782688256E+19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-965900,140310000] |
[a1,a2,a3,a4,a6] |
Generators |
[20:11000:1] |
Generators of the group modulo torsion |
j |
24331017010833/12004097336 |
j-invariant |
L |
7.1962214018525 |
L(r)(E,1)/r! |
Ω |
0.17809821666378 |
Real period |
R |
2.5253696420076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000176923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200dx3 3850f4 4928h4 |
Quadratic twists by: -4 8 5 |