Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
78120w |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
1.3312014533557E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51560787,131247625934] |
[a1,a2,a3,a4,a6] |
Generators |
[6998:336350:1] |
Generators of the group modulo torsion |
j |
10153712079521043286178/891633346565653125 |
j-invariant |
L |
7.0856145491463 |
L(r)(E,1)/r! |
Ω |
0.08359728268661 |
Real period |
R |
1.412648497517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26040n2 |
Quadratic twists by: -3 |