Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17760b |
Isogeny class |
Conductor |
17760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6007680 |
Modular degree for the optimal curve |
Δ |
-5.8028982617092E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 1 7 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,41681064,51993672840] |
[a1,a2,a3,a4,a6] |
Generators |
[10656117717844488541:5239413548280724638500:44110455271037] |
Generators of the group modulo torsion |
j |
15641202222032012520134968/11333785667400691734375 |
j-invariant |
L |
2.9855712245765 |
L(r)(E,1)/r! |
Ω |
0.048249094454375 |
Real period |
R |
30.939142571885 |
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 |
17760k1 35520df1 53280by1 88800cm1 |
Quadratic twists by: -4 8 -3 5 |