Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450bl |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
13824000 |
Modular degree for the optimal curve |
Δ |
1.0467130422067E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64666917,-125814913259] |
[a1,a2,a3,a4,a6] |
Generators |
[-151006799:-4627696913:24389] |
Generators of the group modulo torsion |
j |
2625564132023811051529/918925030195200000 |
j-invariant |
L |
4.842645513721 |
L(r)(E,1)/r! |
Ω |
0.054768214590784 |
Real period |
R |
11.052591248244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150bu1 14490bv1 |
Quadratic twists by: -3 5 |