Atkin-Lehner |
2- 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450cw |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1071360 |
Modular degree for the optimal curve |
Δ |
-10477383918750000 = -1 · 24 · 39 · 58 · 7 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -5 0 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1226180,-522328553] |
[a1,a2,a3,a4,a6] |
Generators |
[10519:1067315:1] |
Generators of the group modulo torsion |
j |
-26517631877595/1362704 |
j-invariant |
L |
8.6188847959795 |
L(r)(E,1)/r! |
Ω |
0.071734766768829 |
Real period |
R |
5.0062224498692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72450o1 72450j1 |
Quadratic twists by: -3 5 |