Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376cw |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2779951104 = -1 · 212 · 36 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 4 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-541,5291] |
[a1,a2,a3,a4,a6] |
Generators |
[17:36:1] |
Generators of the group modulo torsion |
j |
-87410176/13851 |
j-invariant |
L |
8.1736746704109 |
L(r)(E,1)/r! |
Ω |
1.3832431154987 |
Real period |
R |
0.49242215499238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89376g1 89376bd1 |
Quadratic twists by: -4 -7 |