Atkin-Lehner |
2+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
33200c |
Isogeny class |
Conductor |
33200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-332000000 = -1 · 28 · 56 · 83 |
Discriminant |
Eigenvalues |
2+ -3 5+ -5 3 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175,-1250] |
[a1,a2,a3,a4,a6] |
Generators |
[25:100:1] |
Generators of the group modulo torsion |
j |
-148176/83 |
j-invariant |
L |
3.0729524200426 |
L(r)(E,1)/r! |
Ω |
0.6396931765822 |
Real period |
R |
1.2009477873677 |
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 |
16600h1 1328c1 |
Quadratic twists by: -4 5 |