Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800bu |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-3895938252800 = -1 · 218 · 52 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11- 1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-968,95348] |
[a1,a2,a3,a4,a6] |
Generators |
[44:374:1] |
Generators of the group modulo torsion |
j |
-980614705/38046272 |
j-invariant |
L |
6.5837493133814 |
L(r)(E,1)/r! |
Ω |
0.65231951086429 |
Real period |
R |
2.5232072642404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995554 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350a1 74800di1 |
Quadratic twists by: -4 5 |