Atkin-Lehner |
2+ 5+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
91120b |
Isogeny class |
Conductor |
91120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-38726000 = -1 · 24 · 53 · 172 · 67 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 -2 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-356,-2725] |
[a1,a2,a3,a4,a6] |
j |
-312732546304/2420375 |
j-invariant |
L |
1.0983348036105 |
L(r)(E,1)/r! |
Ω |
0.54916740874367 |
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 |
45560a1 |
Quadratic twists by: -4 |