Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255bj |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
364045021349625 = 38 · 53 · 79 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-85343,-9530818] |
[a1,a2,a3,a4,a6] |
j |
2336752783/12375 |
j-invariant |
L |
0.55882578006381 |
L(r)(E,1)/r! |
Ω |
0.27941289003188 |
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 |
8085v1 121275ef1 24255bw1 |
Quadratic twists by: -3 5 -7 |