Atkin-Lehner |
2+ 3+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650b |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
3281040000000 = 210 · 33 · 57 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11067,442341] |
[a1,a2,a3,a4,a6] |
Generators |
[39:243:1] |
Generators of the group modulo torsion |
j |
355346240787/7777280 |
j-invariant |
L |
4.106218299506 |
L(r)(E,1)/r! |
Ω |
0.79470319953179 |
Real period |
R |
0.64587293528701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999858687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650ci1 19530bj1 |
Quadratic twists by: -3 5 |