Atkin-Lehner |
7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
26999j |
Isogeny class |
Conductor |
26999 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-18322836978410069 = -1 · 78 · 194 · 293 |
Discriminant |
Eigenvalues |
-1 1 3 7- -5 -3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-212269,-38219378] |
[a1,a2,a3,a4,a6] |
Generators |
[1299:42691:1] |
Generators of the group modulo torsion |
j |
-8990737580405953/155741544581 |
j-invariant |
L |
4.2200038577911 |
L(r)(E,1)/r! |
Ω |
0.11109675957691 |
Real period |
R |
3.1654117499783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3857b1 |
Quadratic twists by: -7 |