Atkin-Lehner |
2+ 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050r |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-2896863750 = -1 · 2 · 36 · 54 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-300,3150] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:575:8] [-15:75:1] |
Generators of the group modulo torsion |
j |
-4802500825/4634982 |
j-invariant |
L |
4.773584854017 |
L(r)(E,1)/r! |
Ω |
1.3029583611481 |
Real period |
R |
0.30530425967277 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150he1 28050df1 |
Quadratic twists by: -3 5 |