Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450dx |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1440000 |
Modular degree for the optimal curve |
Δ |
-3123812612812500000 = -1 · 25 · 36 · 510 · 72 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 5 -2 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-216680,-93424053] |
[a1,a2,a3,a4,a6] |
j |
-158034076225/438790688 |
j-invariant |
L |
4.10440761687 |
L(r)(E,1)/r! |
Ω |
0.10261019019023 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8050a1 72450cd1 |
Quadratic twists by: -3 5 |