Atkin-Lehner |
5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
121835g |
Isogeny class |
Conductor |
121835 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
389760 |
Modular degree for the optimal curve |
Δ |
-87102801968665 = -1 · 5 · 7 · 597 |
Discriminant |
Eigenvalues |
1 2 5- 7+ 3 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-72,-449059] |
[a1,a2,a3,a4,a6] |
Generators |
[75780349540:16032280573231:1685159] |
Generators of the group modulo torsion |
j |
-1/2065 |
j-invariant |
L |
11.238731607794 |
L(r)(E,1)/r! |
Ω |
0.27718418146925 |
Real period |
R |
20.273039298675 |
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 |
2065b1 |
Quadratic twists by: -59 |