Atkin-Lehner |
3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30723i |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
121749077246981877 = 312 · 77 · 114 · 19 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11+ -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-124804,2431232] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:4464:1] |
Generators of the group modulo torsion |
j |
1827347754908593/1034850081573 |
j-invariant |
L |
1.5947101077766 |
L(r)(E,1)/r! |
Ω |
0.28485348770722 |
Real period |
R |
2.7991760266168 |
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 |
92169bk3 4389f4 |
Quadratic twists by: -3 -7 |