Atkin-Lehner |
2+ 3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150a |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
318651856933593750 = 2 · 3 · 512 · 76 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-94116400,-351475076750] |
[a1,a2,a3,a4,a6] |
Generators |
[85839512545:-29898307939085:704969] |
Generators of the group modulo torsion |
j |
5900646723211921366119169/20393718843750 |
j-invariant |
L |
3.2395182671078 |
L(r)(E,1)/r! |
Ω |
0.048471139260946 |
Real period |
R |
16.708490436312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030w4 |
Quadratic twists by: 5 |