Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38304bd |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
2.1192948512378E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22383675,-40154753214] |
[a1,a2,a3,a4,a6] |
Generators |
[449113939346433190:-24043699912636195316:64795271492125] |
Generators of the group modulo torsion |
j |
123071256063948375000/2102955726425743 |
j-invariant |
L |
6.0614014983567 |
L(r)(E,1)/r! |
Ω |
0.069481127596792 |
Real period |
R |
29.079366383401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304bb2 76608do2 38304d2 |
Quadratic twists by: -4 8 -3 |