Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800ca |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1002240 |
Modular degree for the optimal curve |
Δ |
-1005915218750000 = -1 · 24 · 59 · 13 · 195 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 6 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21800,890875] |
[a1,a2,a3,a4,a6] |
Generators |
[5:1000:1] |
Generators of the group modulo torsion |
j |
4583035109376/4023660875 |
j-invariant |
L |
3.0161803679084 |
L(r)(E,1)/r! |
Ω |
0.32122368090748 |
Real period |
R |
2.3474143972564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24700n1 19760m1 |
Quadratic twists by: -4 5 |