Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400ba |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
5130000 = 24 · 33 · 54 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 2 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,225] |
[a1,a2,a3,a4,a6] |
Generators |
[0:15:1] |
Generators of the group modulo torsion |
j |
172800/19 |
j-invariant |
L |
7.6832225482017 |
L(r)(E,1)/r! |
Ω |
2.3474556874508 |
Real period |
R |
0.5455000058349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34200n1 68400bb1 68400m1 |
Quadratic twists by: -4 -3 5 |