Atkin-Lehner |
2- 3+ 7+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
113652c |
Isogeny class |
Conductor |
113652 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-165022704 = -1 · 24 · 33 · 7 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11+ -4 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2313,42821] |
[a1,a2,a3,a4,a6] |
Generators |
[28:3:1] |
Generators of the group modulo torsion |
j |
-3167866444032/381997 |
j-invariant |
L |
4.6329175056171 |
L(r)(E,1)/r! |
Ω |
1.7454833238185 |
Real period |
R |
1.3271159576129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999913755 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113652d1 |
Quadratic twists by: -3 |