Atkin-Lehner |
2- 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
81872bh |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-2345444740016 = -1 · 24 · 74 · 175 · 43 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -2 -3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1377,75806] |
[a1,a2,a3,a4,a6] |
Generators |
[22:238:1] [106:1064:1] |
Generators of the group modulo torsion |
j |
-18060131319808/146590296251 |
j-invariant |
L |
10.665481283925 |
L(r)(E,1)/r! |
Ω |
0.70092230902412 |
Real period |
R |
0.76081765029803 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20468c1 |
Quadratic twists by: -4 |