Atkin-Lehner |
2+ 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24150i |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
460712448000000000 = 218 · 35 · 59 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-208875,-16927875] |
[a1,a2,a3,a4,a6] |
j |
64500981545311921/29485596672000 |
j-invariant |
L |
0.93288329362012 |
L(r)(E,1)/r! |
Ω |
0.23322082340503 |
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 |
72450ep1 4830bj1 |
Quadratic twists by: -3 5 |