Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
72324t |
Isogeny class |
Conductor |
72324 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-32156087280097536 = -1 · 28 · 312 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,68649,5148430] |
[a1,a2,a3,a4,a6] |
Generators |
[11:2430:1] |
Generators of the group modulo torsion |
j |
1629561008/1464561 |
j-invariant |
L |
6.0062390114736 |
L(r)(E,1)/r! |
Ω |
0.24123530129634 |
Real period |
R |
2.0748203722347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998195 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24108g2 10332g2 |
Quadratic twists by: -3 -7 |