Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
5880g |
Isogeny class |
Conductor |
5880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-451772160 = -1 · 28 · 3 · 5 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,180,372] |
[a1,a2,a3,a4,a6] |
Generators |
[62:496:1] |
Generators of the group modulo torsion |
j |
21296/15 |
j-invariant |
L |
3.7433519633721 |
L(r)(E,1)/r! |
Ω |
1.0570370538071 |
Real period |
R |
3.5413630486175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11760bf1 47040ci1 17640ca1 29400eb1 |
Quadratic twists by: -4 8 -3 5 |