Atkin-Lehner |
5+ 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
93275k |
Isogeny class |
Conductor |
93275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
64274589925 = 52 · 76 · 13 · 412 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- -2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1743,25803] |
[a1,a2,a3,a4,a6] |
Generators |
[3:143:1] |
Generators of the group modulo torsion |
j |
23438240481280/2570983597 |
j-invariant |
L |
2.7823946268705 |
L(r)(E,1)/r! |
Ω |
1.0693879536123 |
Real period |
R |
0.21682142402164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93275n1 |
Quadratic twists by: 5 |