Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
30492bm |
Isogeny class |
Conductor |
30492 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20828795404032 = 28 · 38 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39567,-3021370] |
[a1,a2,a3,a4,a6] |
Generators |
[5618:142101:8] |
Generators of the group modulo torsion |
j |
20720464/63 |
j-invariant |
L |
4.3635017808702 |
L(r)(E,1)/r! |
Ω |
0.33856780232109 |
Real period |
R |
6.4440589904823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968ez2 10164o2 252b2 |
Quadratic twists by: -4 -3 -11 |