Atkin-Lehner |
2+ 3- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100254z |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-158687008410084 = -1 · 22 · 3 · 79 · 11 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11- 4 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6638,-568648] |
[a1,a2,a3,a4,a6] |
j |
801765089/3932412 |
j-invariant |
L |
4.6373304477485 |
L(r)(E,1)/r! |
Ω |
0.2898331667062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254n1 |
Quadratic twists by: -7 |