Atkin-Lehner |
2- 3+ 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150bp |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
10523520 |
Modular degree for the optimal curve |
Δ |
-1.9251386094952E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44468613,114120958731] |
[a1,a2,a3,a4,a6] |
Generators |
[3811:-6280:1] |
Generators of the group modulo torsion |
j |
-15559815632034633236713825/308022177519226368 |
j-invariant |
L |
9.3059742054747 |
L(r)(E,1)/r! |
Ω |
0.16504620365422 |
Real period |
R |
1.566223735612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071549 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117150r1 |
Quadratic twists by: 5 |