Atkin-Lehner |
3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30723i |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-31875509348991 = -1 · 33 · 77 · 11 · 194 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11+ -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3774,284346] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:630:1] |
Generators of the group modulo torsion |
j |
-50529889873/270937359 |
j-invariant |
L |
1.5947101077766 |
L(r)(E,1)/r! |
Ω |
0.56970697541445 |
Real period |
R |
2.7991760266168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92169bk1 4389f1 |
Quadratic twists by: -3 -7 |