Atkin-Lehner |
3+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
59241i |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
349477883937 = 34 · 77 · 132 · 31 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37584,-2820000] |
[a1,a2,a3,a4,a6] |
Generators |
[454:8372:1] |
Generators of the group modulo torsion |
j |
49905130150513/2970513 |
j-invariant |
L |
2.0926045805527 |
L(r)(E,1)/r! |
Ω |
0.34288642827938 |
Real period |
R |
1.5257271855267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463g1 |
Quadratic twists by: -7 |