Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800cm |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-333944000000000 = -1 · 212 · 59 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3 5- 1 -2 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20875,1456250] |
[a1,a2,a3,a4,a6] |
Generators |
[2775:17000:27] |
Generators of the group modulo torsion |
j |
-125751501/41743 |
j-invariant |
L |
13.629079566948 |
L(r)(E,1)/r! |
Ω |
0.51085225471934 |
Real period |
R |
3.3348877788732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6175f1 98800da1 |
Quadratic twists by: -4 5 |