Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12900h |
Isogeny class |
Conductor |
12900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-2821230000 = -1 · 24 · 38 · 54 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 3 -1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,167,2362] |
[a1,a2,a3,a4,a6] |
Generators |
[13:81:1] |
Generators of the group modulo torsion |
j |
51200000/282123 |
j-invariant |
L |
3.99145922765 |
L(r)(E,1)/r! |
Ω |
1.0334842879462 |
Real period |
R |
0.64368971291312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51600dt1 38700m1 12900j1 |
Quadratic twists by: -4 -3 5 |