Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656bz |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
18094067712 = 212 · 35 · 73 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30088,-1998800] |
[a1,a2,a3,a4,a6] |
Generators |
[-14010828:190247:140608] |
Generators of the group modulo torsion |
j |
2144193817375/12879 |
j-invariant |
L |
7.4391962429777 |
L(r)(E,1)/r! |
Ω |
0.36249346224191 |
Real period |
R |
10.261145422839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999747188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7791f1 124656dj1 |
Quadratic twists by: -4 -7 |