Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450co |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-71177879882812500 = -1 · 22 · 39 · 512 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,60370,-11511503] |
[a1,a2,a3,a4,a6] |
Generators |
[1265:45061:1] |
Generators of the group modulo torsion |
j |
79119341757/231437500 |
j-invariant |
L |
9.8102236290142 |
L(r)(E,1)/r! |
Ω |
0.17749256659366 |
Real period |
R |
6.9088975222911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000512 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450d2 14490d2 |
Quadratic twists by: -3 5 |