Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30096z |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-8668180386633056256 = -1 · 215 · 321 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11+ -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1644339,823856114] |
[a1,a2,a3,a4,a6] |
Generators |
[-929:39366:1] |
Generators of the group modulo torsion |
j |
-164668416049678897/2902956072984 |
j-invariant |
L |
3.0101137829237 |
L(r)(E,1)/r! |
Ω |
0.23229277506186 |
Real period |
R |
1.6197844412735 |
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 |
3762k1 120384dy1 10032k1 |
Quadratic twists by: -4 8 -3 |