Atkin-Lehner |
3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30723y |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
-480732520191 = -1 · 3 · 79 · 11 · 192 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11+ 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1937,-46945] |
[a1,a2,a3,a4,a6] |
Generators |
[576685943497:-7399863904083:3491055413] |
Generators of the group modulo torsion |
j |
-19902511/11913 |
j-invariant |
L |
6.9733881496463 |
L(r)(E,1)/r! |
Ω |
0.35025299463388 |
Real period |
R |
19.909574668835 |
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 |
92169be1 30723g1 |
Quadratic twists by: -3 -7 |