Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
80724f |
Isogeny class |
Conductor |
80724 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
13057200 |
Modular degree for the optimal curve |
Δ |
-2.3416999950563E+24 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -3 -4 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25550748,-54316956024] |
[a1,a2,a3,a4,a6] |
Generators |
[4709254:377319446:1331] |
Generators of the group modulo torsion |
j |
8791796912/11160261 |
j-invariant |
L |
1.6754272456955 |
L(r)(E,1)/r! |
Ω |
0.043746686395857 |
Real period |
R |
12.766126861578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80724n1 |
Quadratic twists by: -31 |