Atkin-Lehner |
2+ 3- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113088q |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
6377003818205184 = 214 · 310 · 193 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-156369,23435631] |
[a1,a2,a3,a4,a6] |
Generators |
[141:-2052:1] [-201:6840:1] |
Generators of the group modulo torsion |
j |
25808248194126928/389221424451 |
j-invariant |
L |
11.195851222527 |
L(r)(E,1)/r! |
Ω |
0.42416865881091 |
Real period |
R |
0.4399135026962 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999969985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113088u2 7068c2 |
Quadratic twists by: -4 8 |