Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450dd |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-288457182720000 = -1 · 212 · 33 · 54 · 73 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12745,597647] |
[a1,a2,a3,a4,a6] |
Generators |
[99:1630:1] |
Generators of the group modulo torsion |
j |
13568486147325/17093758976 |
j-invariant |
L |
9.0757813228624 |
L(r)(E,1)/r! |
Ω |
0.36760442666052 |
Real period |
R |
0.34290261278595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999618 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
72450r2 72450c1 |
Quadratic twists by: -3 5 |