Atkin-Lehner |
3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
30855h |
Isogeny class |
Conductor |
30855 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-1.7122292422596E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ -1 11+ 3 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5272396,4701621101] |
[a1,a2,a3,a4,a6] |
Generators |
[1583:17177:1] |
Generators of the group modulo torsion |
j |
-6874064715655619/72615234375 |
j-invariant |
L |
4.0337347216829 |
L(r)(E,1)/r! |
Ω |
0.18169891303519 |
Real period |
R |
1.5857216968372 |
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 |
92565bg1 30855e1 |
Quadratic twists by: -3 -11 |