Atkin-Lehner |
3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30723z |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
-4584388453029 = -1 · 311 · 73 · 11 · 193 |
Discriminant |
Eigenvalues |
1 3- 3 7- 11+ -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-458442,119436013] |
[a1,a2,a3,a4,a6] |
Generators |
[389:-258:1] |
Generators of the group modulo torsion |
j |
-31065720163202550799/13365564003 |
j-invariant |
L |
9.5679121935615 |
L(r)(E,1)/r! |
Ω |
0.62977030111756 |
Real period |
R |
0.69057734055667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92169bg1 30723h1 |
Quadratic twists by: -3 -7 |