Atkin-Lehner |
2- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24080l |
Isogeny class |
Conductor |
24080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
389376 |
Modular degree for the optimal curve |
Δ |
-5354405848112168960 = -1 · 238 · 5 · 72 · 433 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-173323,114742458] |
[a1,a2,a3,a4,a6] |
j |
-140582854299130209/1307227990261760 |
j-invariant |
L |
1.2376460354143 |
L(r)(E,1)/r! |
Ω |
0.20627433923575 |
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 |
3010d1 96320bv1 120400v1 |
Quadratic twists by: -4 8 5 |