Atkin-Lehner |
3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30723w |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
516361461 = 3 · 77 · 11 · 19 |
Discriminant |
Eigenvalues |
0 3- -1 7- 11+ 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-261,-1291] |
[a1,a2,a3,a4,a6] |
Generators |
[23:73:1] |
Generators of the group modulo torsion |
j |
16777216/4389 |
j-invariant |
L |
5.021910177907 |
L(r)(E,1)/r! |
Ω |
1.2104643944666 |
Real period |
R |
1.0371866782831 |
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 |
92169bb1 4389b1 |
Quadratic twists by: -3 -7 |