Atkin-Lehner |
11+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
98527g |
Isogeny class |
Conductor |
98527 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
464256 |
Modular degree for the optimal curve |
Δ |
5231281113773 = 112 · 138 · 53 |
Discriminant |
Eigenvalues |
2 0 0 3 11+ 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-142805,20770987] |
[a1,a2,a3,a4,a6] |
j |
394827264000/6413 |
j-invariant |
L |
4.2063157618636 |
L(r)(E,1)/r! |
Ω |
0.70105266058353 |
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 |
98527m1 |
Quadratic twists by: 13 |