Atkin-Lehner |
2+ 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
52234h |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-229516196 = -1 · 22 · 72 · 134 · 41 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 3 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-767,7897] |
[a1,a2,a3,a4,a6] |
Generators |
[36:151:1] |
Generators of the group modulo torsion |
j |
-1020465085129/4684004 |
j-invariant |
L |
4.1431419766464 |
L(r)(E,1)/r! |
Ω |
1.774422971883 |
Real period |
R |
0.58373088637113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52234b1 |
Quadratic twists by: -7 |