Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544s |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-120222131904 = -1 · 26 · 33 · 72 · 175 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -1 -5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2778,-58774] |
[a1,a2,a3,a4,a6] |
Generators |
[73:357:1] |
Generators of the group modulo torsion |
j |
-1372071356928/69572993 |
j-invariant |
L |
5.5913272683839 |
L(r)(E,1)/r! |
Ω |
0.32783527238878 |
Real period |
R |
0.85276474790547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000217 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544h1 34272e1 68544m1 |
Quadratic twists by: -4 8 -3 |