Atkin-Lehner |
2- 3+ 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
30906k |
Isogeny class |
Conductor |
30906 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-1614034944 = -1 · 211 · 33 · 172 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 -2 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1043,13363] |
[a1,a2,a3,a4,a6] |
Generators |
[23:22:1] [-226:1231:8] |
Generators of the group modulo torsion |
j |
-4643254083987/59779072 |
j-invariant |
L |
10.434419860631 |
L(r)(E,1)/r! |
Ω |
1.5057867577482 |
Real period |
R |
0.15748970078477 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30906a1 |
Quadratic twists by: -3 |