Atkin-Lehner |
2- 3+ 7+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642bh |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-2018464812 = -1 · 22 · 33 · 7 · 13 · 593 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 13- -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1034,-12715] |
[a1,a2,a3,a4,a6] |
Generators |
[1885:80869:1] |
Generators of the group modulo torsion |
j |
-4524053598819/74757956 |
j-invariant |
L |
12.120709572927 |
L(r)(E,1)/r! |
Ω |
0.42057754931716 |
Real period |
R |
7.2048006338453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96642f1 |
Quadratic twists by: -3 |