Atkin-Lehner |
2- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23030q |
Isogeny class |
Conductor |
23030 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-16691292286484480 = -1 · 218 · 5 · 78 · 472 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-853091,303270785] |
[a1,a2,a3,a4,a6] |
j |
-11910376892084209/2895380480 |
j-invariant |
L |
4.5692532418787 |
L(r)(E,1)/r! |
Ω |
0.38077110348989 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
115150a1 23030w1 |
Quadratic twists by: 5 -7 |