Atkin-Lehner |
2+ 3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450a |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6.7388244518277E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,442082958,-1673192131884] |
[a1,a2,a3,a4,a6] |
Generators |
[2540092140734056471:927853743190328957702:19462938250699] |
Generators of the group modulo torsion |
j |
22649115256119592694355357/15973509811739648000000 |
j-invariant |
L |
5.3650683552413 |
L(r)(E,1)/r! |
Ω |
0.023753917810708 |
Real period |
R |
28.232544613982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450cm2 14490bi2 |
Quadratic twists by: -3 5 |