Atkin-Lehner |
3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83475bo |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
358574890314540375 = 311 · 53 · 78 · 532 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-177620,-330168] |
[a1,a2,a3,a4,a6] |
Generators |
[-412:1875:1] [-2498:40935:8] |
Generators of the group modulo torsion |
j |
6800791740379181/3934978220187 |
j-invariant |
L |
7.2137571745996 |
L(r)(E,1)/r! |
Ω |
0.25501111648508 |
Real period |
R |
0.88400033228448 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998755 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27825g2 83475bk2 |
Quadratic twists by: -3 5 |