Atkin-Lehner |
3+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
49245g |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-65267097372225 = -1 · 311 · 52 · 72 · 673 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -6 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-203123,35153658] |
[a1,a2,a3,a4,a6] |
j |
-18915084221121405961/1331981579025 |
j-invariant |
L |
1.1788843350902 |
L(r)(E,1)/r! |
Ω |
0.58944216740187 |
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 |
49245w1 |
Quadratic twists by: -7 |