Atkin-Lehner |
2+ 3- 37- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
55278b |
Isogeny class |
Conductor |
55278 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
1289525184 = 26 · 38 · 37 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 4 -3 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-279,-419] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:41:1] |
Generators of the group modulo torsion |
j |
3301293169/1768896 |
j-invariant |
L |
4.1671987904187 |
L(r)(E,1)/r! |
Ω |
1.2424391779566 |
Real period |
R |
0.8385116278486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18426e1 |
Quadratic twists by: -3 |