Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85848x |
Isogeny class |
Conductor |
85848 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-195551477260489728 = -1 · 210 · 33 · 713 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -3 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-131728,-28174000] |
[a1,a2,a3,a4,a6] |
Generators |
[17400:336140:27] |
Generators of the group modulo torsion |
j |
-2098326698500/1623203253 |
j-invariant |
L |
7.5111941462426 |
L(r)(E,1)/r! |
Ω |
0.12125208395772 |
Real period |
R |
2.581122009536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12264e1 |
Quadratic twists by: -7 |