Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
73800z |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-2905210800 = -1 · 24 · 311 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 5 -2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,150,-2495] |
[a1,a2,a3,a4,a6] |
Generators |
[29:162:1] |
Generators of the group modulo torsion |
j |
1280000/9963 |
j-invariant |
L |
6.7144709099421 |
L(r)(E,1)/r! |
Ω |
0.70965343460666 |
Real period |
R |
1.1827024616531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600be1 73800cu1 |
Quadratic twists by: -3 5 |