Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432bg |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-121390095138816 = -1 · 223 · 3 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -2 -1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32552,-2311056] |
[a1,a2,a3,a4,a6] |
Generators |
[418:7546:1] |
Generators of the group modulo torsion |
j |
-7916293657/251904 |
j-invariant |
L |
2.5680525486641 |
L(r)(E,1)/r! |
Ω |
0.17738261859252 |
Real period |
R |
3.6193689083715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039668 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054n1 1968o1 |
Quadratic twists by: -4 -7 |