Atkin-Lehner |
2+ 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450ce |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
9553333321728000 = 220 · 39 · 53 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78372,7033936] |
[a1,a2,a3,a4,a6] |
j |
584214157617173/104837677056 |
j-invariant |
L |
3.1164221799807 |
L(r)(E,1)/r! |
Ω |
0.38955277046457 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150cb1 72450ex1 |
Quadratic twists by: -3 5 |