Atkin-Lehner |
2- 3- 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
30660v |
Isogeny class |
Conductor |
30660 |
Conductor |
∏ cp |
165 |
Product of Tamagawa factors cp |
deg |
538560 |
Modular degree for the optimal curve |
Δ |
5141337788792394000 = 24 · 311 · 53 · 7 · 735 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-470190,58992525] |
[a1,a2,a3,a4,a6] |
Generators |
[105:3285:1] |
Generators of the group modulo torsion |
j |
718496766627737449216/321333611799524625 |
j-invariant |
L |
6.9055853962852 |
L(r)(E,1)/r! |
Ω |
0.21763841461418 |
Real period |
R |
0.1923007607777 |
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 |
122640bx1 91980r1 |
Quadratic twists by: -4 -3 |