Atkin-Lehner |
3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112677d |
Isogeny class |
Conductor |
112677 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
3.7809301532565E+20 |
Discriminant |
Eigenvalues |
1 3- 4 -2 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-48542374,130168204199] |
[a1,a2,a3,a4,a6] |
Generators |
[839238950:40451808067:125000] |
Generators of the group modulo torsion |
j |
85451505610852693801/2554063192917 |
j-invariant |
L |
12.111959286847 |
L(r)(E,1)/r! |
Ω |
0.15771837837402 |
Real period |
R |
15.3589700928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4899c2 |
Quadratic twists by: -23 |