Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790dz |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
7661122560 |
Modular degree for the optimal curve |
Δ |
-1.6419858723012E+39 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 -1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33263146100498,-73865964306817187823] |
[a1,a2,a3,a4,a6] |
j |
-138357846491853121383730987168838623/55816105091607428996184145920 |
j-invariant |
L |
0.64408504055681 |
L(r)(E,1)/r! |
Ω |
0.0009939584238169 |
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 |
27930r1 83790ft1 |
Quadratic twists by: -3 -7 |