Atkin-Lehner |
2- 3+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13398w |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
9883201692672 = 210 · 36 · 73 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-275534,-55783285] |
[a1,a2,a3,a4,a6] |
j |
2313392917809464711137/9883201692672 |
j-invariant |
L |
1.0418995797849 |
L(r)(E,1)/r! |
Ω |
0.20837991595699 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184cw1 40194p1 93786cr1 |
Quadratic twists by: -4 -3 -7 |