Atkin-Lehner |
2+ 3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98490o |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-273377525995929600 = -1 · 220 · 33 · 52 · 78 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,29276,25084322] |
[a1,a2,a3,a4,a6] |
j |
481388744711/47421849600 |
j-invariant |
L |
2.8459713473468 |
L(r)(E,1)/r! |
Ω |
0.2371642883062 |
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 |
98490j1 |
Quadratic twists by: -7 |