Atkin-Lehner |
3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71487o |
Isogeny class |
Conductor |
71487 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-120562717483143 = -1 · 312 · 136 · 47 |
Discriminant |
Eigenvalues |
-1 3- 0 -4 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12200,743370] |
[a1,a2,a3,a4,a6] |
Generators |
[36:573:1] |
Generators of the group modulo torsion |
j |
-57066625/34263 |
j-invariant |
L |
2.4229323886713 |
L(r)(E,1)/r! |
Ω |
0.545570243537 |
Real period |
R |
2.2205503480032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001563 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23829b1 423b1 |
Quadratic twists by: -3 13 |