Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600bh |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-1423105200 = -1 · 24 · 35 · 52 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-403,-3742] |
[a1,a2,a3,a4,a6] |
Generators |
[29:99:1] |
Generators of the group modulo torsion |
j |
-1239040/243 |
j-invariant |
L |
7.2351515874691 |
L(r)(E,1)/r! |
Ω |
0.52708453799263 |
Real period |
R |
0.45755794787668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600cy1 72600dn1 |
Quadratic twists by: 5 -11 |