Atkin-Lehner |
2- 3+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
4326f |
Isogeny class |
Conductor |
4326 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
4619895060824064 = 226 · 32 · 7 · 1033 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 0 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-151164,22320861] |
[a1,a2,a3,a4,a6] |
Generators |
[193:521:1] |
Generators of the group modulo torsion |
j |
382004974093878023617/4619895060824064 |
j-invariant |
L |
3.963165491701 |
L(r)(E,1)/r! |
Ω |
0.43629646635342 |
Real period |
R |
0.23291416692341 |
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 |
34608ba1 12978f1 108150bm1 30282bk1 |
Quadratic twists by: -4 -3 5 -7 |