Atkin-Lehner |
3- 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
89817l |
Isogeny class |
Conductor |
89817 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
550368 |
Modular degree for the optimal curve |
Δ |
-347275343242737 = -1 · 37 · 76 · 13 · 473 |
Discriminant |
Eigenvalues |
1 3- 4 7- -5 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12126,-733631] |
[a1,a2,a3,a4,a6] |
j |
1676253304439/2951791713 |
j-invariant |
L |
5.9433794790428 |
L(r)(E,1)/r! |
Ω |
0.28301806491777 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1833c1 |
Quadratic twists by: -7 |