Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
41832y |
Isogeny class |
Conductor |
41832 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1004156745984 = 28 · 39 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7311,235730] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:270:1] [-71:630:1] |
Generators of the group modulo torsion |
j |
231572279248/5380641 |
j-invariant |
L |
8.4617535595392 |
L(r)(E,1)/r! |
Ω |
0.87656290175358 |
Real period |
R |
2.4133332424323 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83664q1 13944d1 |
Quadratic twists by: -4 -3 |