Atkin-Lehner |
2- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
46480p |
Isogeny class |
Conductor |
46480 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-17855756800000000 = -1 · 215 · 58 · 75 · 83 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 3 -2 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,384,-6429184] |
[a1,a2,a3,a4,a6] |
Generators |
[4138:91875:8] |
Generators of the group modulo torsion |
j |
1524845951/4359315625000 |
j-invariant |
L |
8.1898336941609 |
L(r)(E,1)/r! |
Ω |
0.17830665001202 |
Real period |
R |
2.2965586795554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5810c1 |
Quadratic twists by: -4 |