Atkin-Lehner |
2- 3+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115434bf |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
24214986918346752 = 214 · 33 · 117 · 532 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-218186,-38451575] |
[a1,a2,a3,a4,a6] |
Generators |
[-271:983:1] |
Generators of the group modulo torsion |
j |
24015001179051/506249216 |
j-invariant |
L |
7.3089607807187 |
L(r)(E,1)/r! |
Ω |
0.22118199982477 |
Real period |
R |
1.1801788324201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999997286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115434j1 10494a1 |
Quadratic twists by: -3 -11 |