Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325bj |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-114487171875 = -1 · 36 · 56 · 19 · 232 |
Discriminant |
Eigenvalues |
2 3- 5+ 3 -5 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,16281] |
[a1,a2,a3,a4,a6] |
Generators |
[322:2237:8] |
Generators of the group modulo torsion |
j |
-4096/10051 |
j-invariant |
L |
14.813776010478 |
L(r)(E,1)/r! |
Ω |
0.84557484488292 |
Real period |
R |
4.3797944412268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10925b1 3933b1 |
Quadratic twists by: -3 5 |