Atkin-Lehner |
2- 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150bv |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-52073437500 = -1 · 22 · 32 · 58 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,437,-10219] |
[a1,a2,a3,a4,a6] |
j |
590589719/3332700 |
j-invariant |
L |
2.2523614165578 |
L(r)(E,1)/r! |
Ω |
0.56309035413943 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450bq1 4830m1 |
Quadratic twists by: -3 5 |