Atkin-Lehner |
3+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
13923b |
Isogeny class |
Conductor |
13923 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1238828405713353 = 39 · 73 · 133 · 174 |
Discriminant |
Eigenvalues |
-1 3+ 4 7+ 0 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-421283,-105127766] |
[a1,a2,a3,a4,a6] |
j |
420100556152674123/62939003491 |
j-invariant |
L |
1.4991671002482 |
L(r)(E,1)/r! |
Ω |
0.18739588753103 |
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 |
13923a1 97461b1 |
Quadratic twists by: -3 -7 |