Atkin-Lehner |
2- 3- 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050ch |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
856800 |
Modular degree for the optimal curve |
Δ |
-549823950000000 = -1 · 27 · 35 · 58 · 13 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 13- -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37888,3051392] |
[a1,a2,a3,a4,a6] |
Generators |
[452:-9076:1] |
Generators of the group modulo torsion |
j |
-15398181555745/1407549312 |
j-invariant |
L |
11.149048065776 |
L(r)(E,1)/r! |
Ω |
0.50736989445966 |
Real period |
R |
0.104639052453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050d1 |
Quadratic twists by: 5 |