Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376bd |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-327058467434496 = -1 · 212 · 36 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 4 0 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26525,-1867851] |
[a1,a2,a3,a4,a6] |
j |
-87410176/13851 |
j-invariant |
L |
2.9669231728448 |
L(r)(E,1)/r! |
Ω |
0.18543270113816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89376n1 89376cw1 |
Quadratic twists by: -4 -7 |