Atkin-Lehner |
2+ 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450c |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-17128125000 = -1 · 23 · 33 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 -5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44775,3628125] |
[a1,a2,a3,a4,a6] |
Generators |
[125:0:1] |
Generators of the group modulo torsion |
j |
-635368419908209/1096200 |
j-invariant |
L |
2.9995237652891 |
L(r)(E,1)/r! |
Ω |
1.0539857503637 |
Real period |
R |
1.4229432249222 |
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 |
91350ef1 6090x1 |
Quadratic twists by: -3 5 |