Atkin-Lehner |
2- 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
113300j |
Isogeny class |
Conductor |
113300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
960000 |
Modular degree for the optimal curve |
Δ |
4853949031250000 = 24 · 59 · 114 · 1032 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11- 4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-437000,111140625] |
[a1,a2,a3,a4,a6] |
Generators |
[276:3399:1] |
Generators of the group modulo torsion |
j |
295337096773632/155326369 |
j-invariant |
L |
5.3303902070557 |
L(r)(E,1)/r! |
Ω |
0.42727992248973 |
Real period |
R |
1.0395975994616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049591 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113300i1 |
Quadratic twists by: 5 |