Atkin-Lehner |
2+ 11+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84656a |
Isogeny class |
Conductor |
84656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
-158649407488 = -1 · 211 · 115 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 0 0 1 11+ 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-155,19178] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:130:1] |
Generators of the group modulo torsion |
j |
-201089250/77465531 |
j-invariant |
L |
5.1840623928023 |
L(r)(E,1)/r! |
Ω |
0.83119134742146 |
Real period |
R |
3.1184530520213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42328f1 |
Quadratic twists by: -4 |