Atkin-Lehner |
2- 3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64974be |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
873600 |
Modular degree for the optimal curve |
Δ |
-31295541583916064 = -1 · 25 · 310 · 78 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -6 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13084,-8536291] |
[a1,a2,a3,a4,a6] |
Generators |
[4577:307293:1] |
Generators of the group modulo torsion |
j |
-42969774337/5428728864 |
j-invariant |
L |
9.8885788260344 |
L(r)(E,1)/r! |
Ω |
0.1644941675292 |
Real period |
R |
1.0019178769334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64974bz1 |
Quadratic twists by: -7 |