Atkin-Lehner |
3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87975bd |
Isogeny class |
Conductor |
87975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1082257453125 = 311 · 56 · 17 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 0 5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4125,-88844] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:112:1] |
Generators of the group modulo torsion |
j |
681472000/95013 |
j-invariant |
L |
2.8260953876114 |
L(r)(E,1)/r! |
Ω |
0.60124004193499 |
Real period |
R |
1.1751110972136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29325f1 3519f1 |
Quadratic twists by: -3 5 |