Atkin-Lehner |
2- 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
119520o |
Isogeny class |
Conductor |
119520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
89640000 = 26 · 33 · 54 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-357,2556] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:70:1] [-3:60:1] |
Generators of the group modulo torsion |
j |
2911954752/51875 |
j-invariant |
L |
10.510783023423 |
L(r)(E,1)/r! |
Ω |
1.9112960525348 |
Real period |
R |
1.3748240383766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999938216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119520d1 119520b1 |
Quadratic twists by: -4 -3 |