Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42900c |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-132328825200 = -1 · 24 · 34 · 52 · 11 · 135 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6058,-180323] |
[a1,a2,a3,a4,a6] |
Generators |
[91:117:1] |
Generators of the group modulo torsion |
j |
-61478493280000/330822063 |
j-invariant |
L |
4.7592045240877 |
L(r)(E,1)/r! |
Ω |
0.27048396495584 |
Real period |
R |
1.7595144780055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128700y1 42900bi1 |
Quadratic twists by: -3 5 |