Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720b |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
47071232000000 = 220 · 56 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-354721,81434145] |
[a1,a2,a3,a4,a6] |
Generators |
[-231:12288:1] |
Generators of the group modulo torsion |
j |
18829800329506921/179562500 |
j-invariant |
L |
9.356483480866 |
L(r)(E,1)/r! |
Ω |
0.57500565496065 |
Real period |
R |
4.0679962882178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720x1 2210b1 |
Quadratic twists by: -4 8 |