Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450el |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
143744161680000000 = 210 · 313 · 57 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1162130,482148497] |
[a1,a2,a3,a4,a6] |
Generators |
[759:-6455:1] |
Generators of the group modulo torsion |
j |
15238420194810961/12619514880 |
j-invariant |
L |
10.691920137162 |
L(r)(E,1)/r! |
Ω |
0.3240882456598 |
Real period |
R |
0.8247692009202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150bf1 14490g1 |
Quadratic twists by: -3 5 |