Atkin-Lehner |
2+ 11- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
127534d |
Isogeny class |
Conductor |
127534 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
255068 = 22 · 112 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 0 0 -1 11- -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17,17] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:5:1] [1:0:1] |
Generators of the group modulo torsion |
j |
4640625/2108 |
j-invariant |
L |
7.8763401168329 |
L(r)(E,1)/r! |
Ω |
2.79047029552 |
Real period |
R |
1.4112925917101 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000007521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127534o1 |
Quadratic twists by: -11 |