Atkin-Lehner |
2+ 3- 7- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274y |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-47199266355034584 = -1 · 23 · 311 · 72 · 294 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,59094,-8885268] |
[a1,a2,a3,a4,a6] |
Generators |
[5838:161511:8] |
Generators of the group modulo torsion |
j |
31305613084762463/64745221337496 |
j-invariant |
L |
6.5500024808399 |
L(r)(E,1)/r! |
Ω |
0.18645921073305 |
Real period |
R |
2.1955212323791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999735068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37758u2 |
Quadratic twists by: -3 |