Atkin-Lehner |
2- 3+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10788a |
Isogeny class |
Conductor |
10788 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61056 |
Modular degree for the optimal curve |
Δ |
-27307508319216 = -1 · 24 · 34 · 294 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -3 3 6 0 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48602,4148001] |
[a1,a2,a3,a4,a6] |
Generators |
[140:-261:1] |
Generators of the group modulo torsion |
j |
-793551448031473408/1706719269951 |
j-invariant |
L |
3.6208941272041 |
L(r)(E,1)/r! |
Ω |
0.66781038250632 |
Real period |
R |
0.22591830343709 |
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 |
43152bg1 32364g1 |
Quadratic twists by: -4 -3 |