Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600di |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-40291730856000000 = -1 · 29 · 318 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23475,9756250] |
[a1,a2,a3,a4,a6] |
Generators |
[150:3100:1] |
Generators of the group modulo torsion |
j |
-245314376/6908733 |
j-invariant |
L |
5.1678986106414 |
L(r)(E,1)/r! |
Ω |
0.30345107486857 |
Real period |
R |
4.2576044641906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93600u2 31200n2 3744h4 |
Quadratic twists by: -4 -3 5 |