Atkin-Lehner |
2- 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
124630r |
Isogeny class |
Conductor |
124630 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
147267871093750 = 2 · 511 · 114 · 103 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 11- 5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-93596,-11044857] |
[a1,a2,a3,a4,a6] |
Generators |
[-761003788:681784167:4410944] |
Generators of the group modulo torsion |
j |
6193342928020369/10058593750 |
j-invariant |
L |
10.583358224847 |
L(r)(E,1)/r! |
Ω |
0.27297795258021 |
Real period |
R |
12.923337100504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999227548 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124630b1 |
Quadratic twists by: -11 |