Atkin-Lehner |
2- 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
98384s |
Isogeny class |
Conductor |
98384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-67907951061808 = -1 · 24 · 112 · 138 · 43 |
Discriminant |
Eigenvalues |
2- -2 -2 -4 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104709,13012582] |
[a1,a2,a3,a4,a6] |
Generators |
[198:286:1] |
Generators of the group modulo torsion |
j |
-7935237196755238912/4244246941363 |
j-invariant |
L |
2.2859287937586 |
L(r)(E,1)/r! |
Ω |
0.6099952274757 |
Real period |
R |
0.93686339406055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999871568 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24596c1 |
Quadratic twists by: -4 |