Atkin-Lehner |
2+ 3- 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
116850bp |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
3153920 |
Modular degree for the optimal curve |
Δ |
-759948299576064000 = -1 · 211 · 34 · 53 · 197 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 1 3 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,159084,34111378] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:2781:1] |
Generators of the group modulo torsion |
j |
3562026371417094931/6079586396608512 |
j-invariant |
L |
4.3110473814297 |
L(r)(E,1)/r! |
Ω |
0.19451248803361 |
Real period |
R |
0.3957740163156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116850cf1 |
Quadratic twists by: 5 |