Atkin-Lehner |
2+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23030d |
Isogeny class |
Conductor |
23030 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
1727969687500 = 22 · 57 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 1 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4779,-110694] |
[a1,a2,a3,a4,a6] |
j |
102568953241/14687500 |
j-invariant |
L |
1.1593936944553 |
L(r)(E,1)/r! |
Ω |
0.57969684722767 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150cl1 470c1 |
Quadratic twists by: 5 -7 |