Atkin-Lehner |
2+ 3+ 5- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850q |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
304640 |
Modular degree for the optimal curve |
Δ |
-15774750000000 = -1 · 27 · 34 · 59 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 5 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5550,-103500] |
[a1,a2,a3,a4,a6] |
Generators |
[885:25995:1] |
Generators of the group modulo torsion |
j |
9677214091/8076672 |
j-invariant |
L |
5.1130943263683 |
L(r)(E,1)/r! |
Ω |
0.38579114996635 |
Real period |
R |
3.3133823118687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000072114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116850cp1 |
Quadratic twists by: 5 |