Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24255b |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
309120 |
Modular degree for the optimal curve |
Δ |
-183921922529296875 = -1 · 33 · 510 · 78 · 112 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ 11+ -3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17493,-20652802] |
[a1,a2,a3,a4,a6] |
Generators |
[366:4687:1] |
Generators of the group modulo torsion |
j |
-3803369472/1181640625 |
j-invariant |
L |
2.0134513886815 |
L(r)(E,1)/r! |
Ω |
0.14314834059712 |
Real period |
R |
1.758186106352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24255p1 121275e1 24255t1 |
Quadratic twists by: -3 5 -7 |