Atkin-Lehner |
2- 3+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13398x |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-1569280944 = -1 · 24 · 3 · 7 · 115 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11+ -1 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,241,1349] |
[a1,a2,a3,a4,a6] |
j |
1547612421263/1569280944 |
j-invariant |
L |
3.968870722883 |
L(r)(E,1)/r! |
Ω |
0.99221768072074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107184cx1 40194q1 93786ct1 |
Quadratic twists by: -4 -3 -7 |