Atkin-Lehner |
2+ 3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64974b |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
274320 |
Modular degree for the optimal curve |
Δ |
-68072442686976 = -1 · 29 · 3 · 74 · 13 · 175 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 4 13- 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23692,-1468592] |
[a1,a2,a3,a4,a6] |
j |
-612583599798121/28351704576 |
j-invariant |
L |
1.7269791637848 |
L(r)(E,1)/r! |
Ω |
0.19188657372905 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64974t1 |
Quadratic twists by: -7 |