Atkin-Lehner |
2- 3- 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
117150ce |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
4.37636163244E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2914588,1629155792] |
[a1,a2,a3,a4,a6] |
Generators |
[-1492:52292:1] |
Generators of the group modulo torsion |
j |
175240794248191828729/28008714447616320 |
j-invariant |
L |
12.432116698125 |
L(r)(E,1)/r! |
Ω |
0.16001058469371 |
Real period |
R |
0.40466452892731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999883045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23430a2 |
Quadratic twists by: 5 |