Atkin-Lehner |
2+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98192a |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21760 |
Modular degree for the optimal curve |
Δ |
-29850368 = -1 · 28 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ 1 -4 -2 -2 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25,259] |
[a1,a2,a3,a4,a6] |
Generators |
[6:19:1] |
Generators of the group modulo torsion |
j |
-1024/17 |
j-invariant |
L |
3.4177652438603 |
L(r)(E,1)/r! |
Ω |
1.7661305334883 |
Real period |
R |
0.96758568933148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999545638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49096a1 98192b1 |
Quadratic twists by: -4 -19 |