Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400bm |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
229635000000000 = 29 · 38 · 510 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-153075,-23040250] |
[a1,a2,a3,a4,a6] |
Generators |
[6098:139293:8] |
Generators of the group modulo torsion |
j |
68017239368/39375 |
j-invariant |
L |
6.9355908501587 |
L(r)(E,1)/r! |
Ω |
0.24137293865798 |
Real period |
R |
7.1834801455991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400dh4 100800fs4 16800bi3 10080bm2 |
Quadratic twists by: -4 8 -3 5 |