Atkin-Lehner |
7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30821d |
Isogeny class |
Conductor |
30821 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
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 |
[0,1,1,145,-1368] |
[a1,a2,a3,a4,a6] |
Generators |
[100:1011:1] |
Generators of the group modulo torsion |
j |
976191488/3090277 |
j-invariant |
L |
2.7709298414736 |
L(r)(E,1)/r! |
Ω |
0.79449388941528 |
Real period |
R |
0.87191666241537 |
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 |
30821k1 |
Quadratic twists by: -7 |