Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
45080c |
Isogeny class |
Conductor |
45080 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
272160 |
Modular degree for the optimal curve |
Δ |
-24231338163424000 = -1 · 28 · 53 · 76 · 235 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -6 2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,71932,975492] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1058:1] |
Generators of the group modulo torsion |
j |
1366664500224/804542875 |
j-invariant |
L |
4.5588891308202 |
L(r)(E,1)/r! |
Ω |
0.23005700330199 |
Real period |
R |
0.99081728992821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90160c1 920a1 |
Quadratic twists by: -4 -7 |