Atkin-Lehner |
3- 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325ba |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-7.2185199407183E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 -5 5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2730380,2165514122] |
[a1,a2,a3,a4,a6] |
j |
-197626550799590641/63372465871875 |
j-invariant |
L |
0.60663055295843 |
L(r)(E,1)/r! |
Ω |
0.15165761462284 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32775z1 19665p1 |
Quadratic twists by: -3 5 |