Atkin-Lehner |
2+ 3+ 5- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
117150m |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17962560 |
Modular degree for the optimal curve |
Δ |
-3.615962827752E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ 0 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-80209200,-276528096000] |
[a1,a2,a3,a4,a6] |
Generators |
[5466705:1114352349:125] |
Generators of the group modulo torsion |
j |
-146095298508030902630185/925686483904512 |
j-invariant |
L |
1.5393726550298 |
L(r)(E,1)/r! |
Ω |
0.025223964529035 |
Real period |
R |
10.1713633827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117150bz1 |
Quadratic twists by: 5 |