Atkin-Lehner |
2+ 3- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150ba |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
364674960000000 = 210 · 36 · 57 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-66776,6572198] |
[a1,a2,a3,a4,a6] |
Generators |
[72:1426:1] |
Generators of the group modulo torsion |
j |
2107441550633329/23339197440 |
j-invariant |
L |
5.1580043125773 |
L(r)(E,1)/r! |
Ω |
0.53933434737846 |
Real period |
R |
0.3984853686895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430y1 |
Quadratic twists by: 5 |