Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144ct |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
29047062528 = 216 · 32 · 113 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37821697,-89540762497] |
[a1,a2,a3,a4,a6] |
Generators |
[90574300912866604507154:226384774044448388621566965:14498403829672321] |
Generators of the group modulo torsion |
j |
91299169320689012753668/443223 |
j-invariant |
L |
9.7180302817514 |
L(r)(E,1)/r! |
Ω |
0.060878550148557 |
Real period |
R |
39.90744792838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000007064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144q4 19536g3 |
Quadratic twists by: -4 8 |