Atkin-Lehner |
3- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87975bg |
Isogeny class |
Conductor |
87975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-1184158895625 = -1 · 36 · 54 · 173 · 232 |
Discriminant |
Eigenvalues |
1 3- 5- 1 4 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65067,-6372334] |
[a1,a2,a3,a4,a6] |
Generators |
[1344010696511954:22338318841742712:2897907032593] |
Generators of the group modulo torsion |
j |
-66865526921025/2598977 |
j-invariant |
L |
7.6359030704192 |
L(r)(E,1)/r! |
Ω |
0.14946105293133 |
Real period |
R |
25.54479217381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9775f1 87975be1 |
Quadratic twists by: -3 5 |