Atkin-Lehner |
3+ 7- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120099c |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3196565338575483 = 36 · 710 · 192 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- -6 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36898,191540] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:1477:1] [-67:1572:1] |
Generators of the group modulo torsion |
j |
47222033748625/27170357067 |
j-invariant |
L |
5.5211789094647 |
L(r)(E,1)/r! |
Ω |
0.38231913236731 |
Real period |
R |
3.6103208310747 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975517 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17157i2 |
Quadratic twists by: -7 |