Atkin-Lehner |
2+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15050a |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-2782745000000000 = -1 · 29 · 510 · 7 · 433 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -3 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,29600,-1600000] |
[a1,a2,a3,a4,a6] |
Generators |
[275:5100:1] |
Generators of the group modulo torsion |
j |
183550636104191/178095680000 |
j-invariant |
L |
2.1443329178886 |
L(r)(E,1)/r! |
Ω |
0.24728297496869 |
Real period |
R |
4.3357876096406 |
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 |
120400bs1 3010f1 105350e1 |
Quadratic twists by: -4 5 -7 |