Atkin-Lehner |
2+ 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958r |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-22014864 = -1 · 24 · 32 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 0 5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-69,-320] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-114:1] |
Generators of the group modulo torsion |
j |
-67256761/41616 |
j-invariant |
L |
4.4021440084399 |
L(r)(E,1)/r! |
Ω |
0.8070038662943 |
Real period |
R |
0.6818653838401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53958y1 |
Quadratic twists by: -23 |