Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992cs |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
59041441969864704 = 218 · 314 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120396,11039600] |
[a1,a2,a3,a4,a6] |
Generators |
[461:7315:1] |
Generators of the group modulo torsion |
j |
1009932705937/308950929 |
j-invariant |
L |
6.931530490392 |
L(r)(E,1)/r! |
Ω |
0.32574698223846 |
Real period |
R |
5.3197195678647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000155874 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
124992fe2 1953d2 41664s2 |
Quadratic twists by: -4 8 -3 |