Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77400bt |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-28212300000000 = -1 · 28 · 38 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -6 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7500,-357500] |
[a1,a2,a3,a4,a6] |
j |
-640000/387 |
j-invariant |
L |
0.9984788738508 |
L(r)(E,1)/r! |
Ω |
0.24961972036961 |
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 |
25800t1 77400l1 |
Quadratic twists by: -3 5 |