Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
10050bh |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
314062500 = 22 · 3 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-188,492] |
[a1,a2,a3,a4,a6] |
Generators |
[6:147:8] |
Generators of the group modulo torsion |
j |
47045881/20100 |
j-invariant |
L |
7.4946891510336 |
L(r)(E,1)/r! |
Ω |
1.5523678124439 |
Real period |
R |
2.4139540548817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80400cb1 30150v1 2010b1 |
Quadratic twists by: -4 -3 5 |