Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
73800bu |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-110700000000 = -1 · 28 · 33 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -5 4 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-375,16250] |
[a1,a2,a3,a4,a6] |
Generators |
[25:150:1] [-11:138:1] |
Generators of the group modulo torsion |
j |
-2160/41 |
j-invariant |
L |
11.019483335862 |
L(r)(E,1)/r! |
Ω |
0.88816915234514 |
Real period |
R |
0.51695686320695 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73800h1 73800e1 |
Quadratic twists by: -3 5 |