Atkin-Lehner |
2- 3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530bp |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1985761149134400 = 26 · 36 · 52 · 116 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-51851,-4028551] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:794:1] |
Generators of the group modulo torsion |
j |
8702409880009/1120910400 |
j-invariant |
L |
6.975250550811 |
L(r)(E,1)/r! |
Ω |
0.31906530698965 |
Real period |
R |
1.8217928013663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964693 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
930a2 |
Quadratic twists by: -11 |