Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30096bk |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-145936459074650112 = -1 · 214 · 37 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,131181,-1839278] |
[a1,a2,a3,a4,a6] |
Generators |
[239:6570:1] |
Generators of the group modulo torsion |
j |
83608233481583/48873824868 |
j-invariant |
L |
6.8197089679832 |
L(r)(E,1)/r! |
Ω |
0.19213321474544 |
Real period |
R |
4.4368362967712 |
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 |
3762d4 120384co3 10032o4 |
Quadratic twists by: -4 8 -3 |