Atkin-Lehner |
7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30821b |
Isogeny class |
Conductor |
30821 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-1059965011 = -1 · 73 · 174 · 37 |
Discriminant |
Eigenvalues |
0 2 1 7- 3 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-273765,55224784] |
[a1,a2,a3,a4,a6] |
Generators |
[19556:6037:64] |
Generators of the group modulo torsion |
j |
-6615534687320276992/3090277 |
j-invariant |
L |
7.0301083264374 |
L(r)(E,1)/r! |
Ω |
0.94313492669548 |
Real period |
R |
1.8634948530294 |
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 |
30821l1 |
Quadratic twists by: -7 |