Atkin-Lehner |
2+ 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690n |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
27713664 |
Modular degree for the optimal curve |
Δ |
2.7888431044939E+25 |
Discriminant |
Eigenvalues |
2+ -1 5- 3 11+ 6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-103082927,-312645343259] |
[a1,a2,a3,a4,a6] |
Generators |
[3854388:929752841:64] |
Generators of the group modulo torsion |
j |
51374756600509601771/11827417186304000 |
j-invariant |
L |
5.3799167103205 |
L(r)(E,1)/r! |
Ω |
0.048165699526247 |
Real period |
R |
6.2053341891838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999988902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107690be1 |
Quadratic twists by: -11 |