Atkin-Lehner |
2- 3+ 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110br |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
1680 |
Product of Tamagawa factors cp |
deg |
25482240 |
Modular degree for the optimal curve |
Δ |
1.1887548219056E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -6 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-76855502,199360606429] |
[a1,a2,a3,a4,a6] |
Generators |
[7187:131281:1] |
Generators of the group modulo torsion |
j |
2550687801442702505064027/603950018750000000000 |
j-invariant |
L |
11.33107230296 |
L(r)(E,1)/r! |
Ω |
0.067168818702616 |
Real period |
R |
0.40165576985171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97110b1 |
Quadratic twists by: -3 |