Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255l |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
132480 |
Modular degree for the optimal curve |
Δ |
-1139653388671875 = -1 · 39 · 510 · 72 · 112 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 11- 3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3213,-1625731] |
[a1,a2,a3,a4,a6] |
Generators |
[649166:9039253:2744] |
Generators of the group modulo torsion |
j |
-3803369472/1181640625 |
j-invariant |
L |
10.177023612121 |
L(r)(E,1)/r! |
Ω |
0.2186627021312 |
Real period |
R |
5.8177637938081 |
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 |
24255t1 121275bj1 24255p1 |
Quadratic twists by: -3 5 -7 |