Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87024b |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2026752 |
Modular degree for the optimal curve |
Δ |
-696453792798210048 = -1 · 211 · 313 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -5 -1 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165440,47835936] |
[a1,a2,a3,a4,a6] |
Generators |
[2410:116794:1] |
Generators of the group modulo torsion |
j |
-42416382722/58989951 |
j-invariant |
L |
3.6919037027578 |
L(r)(E,1)/r! |
Ω |
0.25780846020037 |
Real period |
R |
7.1601678616449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43512bd1 87024bf1 |
Quadratic twists by: -4 -7 |