Atkin-Lehner |
2- 3- 5- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850cr |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
1958400 |
Modular degree for the optimal curve |
Δ |
-739359903375000000 = -1 · 26 · 33 · 59 · 194 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2138,41369892] |
[a1,a2,a3,a4,a6] |
Generators |
[-272:4810:1] |
Generators of the group modulo torsion |
j |
-553387661/378552270528 |
j-invariant |
L |
10.585702472384 |
L(r)(E,1)/r! |
Ω |
0.22660680797842 |
Real period |
R |
0.64880506462437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051353 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116850s1 |
Quadratic twists by: 5 |