Atkin-Lehner |
2+ 3- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10374d |
Isogeny class |
Conductor |
10374 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
53013579300864 = 220 · 34 · 7 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1053627,-416360570] |
[a1,a2,a3,a4,a6] |
j |
129355170662787770927017/53013579300864 |
j-invariant |
L |
1.1921142487654 |
L(r)(E,1)/r! |
Ω |
0.14901428109567 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992bx1 31122w1 72618n1 |
Quadratic twists by: -4 -3 -7 |