Atkin-Lehner |
2- 3+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576be |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
70862424898535424 = 240 · 33 · 7 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108864,-5170176] |
[a1,a2,a3,a4,a6] |
Generators |
[87173341303328:279289496862720:244257831251] |
Generators of the group modulo torsion |
j |
34835385125249857/17300396703744 |
j-invariant |
L |
4.8385804444433 |
L(r)(E,1)/r! |
Ω |
0.27663824582057 |
Real period |
R |
17.490641786647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999634383 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322k1 |
Quadratic twists by: -4 |