Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87024bb |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-2597599565568 = -1 · 28 · 32 · 77 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1388,79596] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:294:1] |
Generators of the group modulo torsion |
j |
-9826000/86247 |
j-invariant |
L |
9.6622543463477 |
L(r)(E,1)/r! |
Ω |
0.69373061924185 |
Real period |
R |
1.7409953655842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001901 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43512b1 12432a1 |
Quadratic twists by: -4 -7 |