Atkin-Lehner |
2+ 11+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
127534b |
Isogeny class |
Conductor |
127534 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
445632 |
Modular degree for the optimal curve |
Δ |
2485276866314 = 2 · 119 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 0 -3 -5 11+ 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4076,66446] |
[a1,a2,a3,a4,a6] |
Generators |
[91:620:1] [7:192:1] |
Generators of the group modulo torsion |
j |
3176523/1054 |
j-invariant |
L |
5.3051816911012 |
L(r)(E,1)/r! |
Ω |
0.75022032064164 |
Real period |
R |
3.5357491296367 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127534j1 |
Quadratic twists by: -11 |