Atkin-Lehner |
2+ 3+ 23- 101- |
Signs for the Atkin-Lehner involutions |
Class |
13938c |
Isogeny class |
Conductor |
13938 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-540571392 = -1 · 28 · 32 · 23 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 -2 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1615,-25691] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1192:1] |
Generators of the group modulo torsion |
j |
-466295689653625/540571392 |
j-invariant |
L |
3.3318842394918 |
L(r)(E,1)/r! |
Ω |
0.37649675037076 |
Real period |
R |
4.424851258624 |
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 |
111504o1 41814e1 |
Quadratic twists by: -4 -3 |