Atkin-Lehner |
2+ 3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
49770s |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
2496688717824000 = 218 · 39 · 53 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39240,-1771200] |
[a1,a2,a3,a4,a6] |
j |
9166201613735041/3424813056000 |
j-invariant |
L |
0.69988465070923 |
L(r)(E,1)/r! |
Ω |
0.3499423256636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590bc1 |
Quadratic twists by: -3 |