Atkin-Lehner |
3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
60333d |
Isogeny class |
Conductor |
60333 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
380820749673 = 3 · 7 · 137 · 172 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-277839,56253072] |
[a1,a2,a3,a4,a6] |
Generators |
[28405160:-304780197:64000] |
Generators of the group modulo torsion |
j |
491411892194497/78897 |
j-invariant |
L |
8.5052754923295 |
L(r)(E,1)/r! |
Ω |
0.74638697249224 |
Real period |
R |
11.395262519284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997733 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4641b1 |
Quadratic twists by: 13 |