Atkin-Lehner |
2+ 5+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
77350f |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
-12376000000 = -1 · 29 · 56 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8725,310125] |
[a1,a2,a3,a4,a6] |
j |
-4701947389777/792064 |
j-invariant |
L |
1.2261705426684 |
L(r)(E,1)/r! |
Ω |
1.2261705810514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3094h1 |
Quadratic twists by: 5 |