Atkin-Lehner |
2- 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
76636a |
Isogeny class |
Conductor |
76636 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
146664 |
Modular degree for the optimal curve |
Δ |
-19078170784624 = -1 · 24 · 78 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 3 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28469,-1860775] |
[a1,a2,a3,a4,a6] |
Generators |
[4972676800:98219091495:10793861] |
Generators of the group modulo torsion |
j |
-27665342208/206839 |
j-invariant |
L |
8.0050944648263 |
L(r)(E,1)/r! |
Ω |
0.18368876832541 |
Real period |
R |
14.526554055779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76636b1 |
Quadratic twists by: -7 |