Atkin-Lehner |
2+ 5- 23- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
23230h |
Isogeny class |
Conductor |
23230 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
-92920 = -1 · 23 · 5 · 23 · 101 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 4 1 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[2:2:1] |
Generators of the group modulo torsion |
j |
46268279/92920 |
j-invariant |
L |
2.5260159624749 |
L(r)(E,1)/r! |
Ω |
1.764730119923 |
Real period |
R |
1.4313893858088 |
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 |
116150u1 |
Quadratic twists by: 5 |