Atkin-Lehner |
2- 3+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75900h |
Isogeny class |
Conductor |
75900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
3734849250000 = 24 · 310 · 56 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4133,-41238] |
[a1,a2,a3,a4,a6] |
Generators |
[-12024:105327:512] |
Generators of the group modulo torsion |
j |
31238127616/14939397 |
j-invariant |
L |
5.2149215712979 |
L(r)(E,1)/r! |
Ω |
0.62426988815242 |
Real period |
R |
8.3536330487245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004419 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3036j1 |
Quadratic twists by: 5 |