Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
73800k |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-110700000000 = -1 · 28 · 33 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 -6 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1500,-27500] |
[a1,a2,a3,a4,a6] |
Generators |
[50:150:1] |
Generators of the group modulo torsion |
j |
-138240/41 |
j-invariant |
L |
6.6628761152971 |
L(r)(E,1)/r! |
Ω |
0.37779877065022 |
Real period |
R |
0.73483520762393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73800bt1 73800br1 |
Quadratic twists by: -3 5 |