Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330eh |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
802770892560 = 24 · 38 · 5 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5963,173387] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:478:1] |
Generators of the group modulo torsion |
j |
273359449/9360 |
j-invariant |
L |
8.9721386305259 |
L(r)(E,1)/r! |
Ω |
0.88869238598298 |
Real period |
R |
1.261985976819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110bh1 1170m1 |
Quadratic twists by: -3 -7 |