Atkin-Lehner |
2+ 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48314h |
Isogeny class |
Conductor |
48314 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
402432 |
Modular degree for the optimal curve |
Δ |
-673342621969948 = -1 · 22 · 77 · 172 · 294 |
Discriminant |
Eigenvalues |
2+ 2 -4 7- 4 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25407,1986545] |
[a1,a2,a3,a4,a6] |
Generators |
[71:704:1] |
Generators of the group modulo torsion |
j |
-15417797707369/5723317852 |
j-invariant |
L |
4.1341394793668 |
L(r)(E,1)/r! |
Ω |
0.48016302566424 |
Real period |
R |
1.0762332943125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6902b1 |
Quadratic twists by: -7 |