Atkin-Lehner |
2+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
90334i |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
5712884269692706 = 2 · 317 · 473 |
Discriminant |
Eigenvalues |
2+ -1 3 -1 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44706,96778] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:482:1] |
Generators of the group modulo torsion |
j |
11134383337/6437026 |
j-invariant |
L |
4.6611236589229 |
L(r)(E,1)/r! |
Ω |
0.36217936248604 |
Real period |
R |
1.0724713004338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2914b1 |
Quadratic twists by: -31 |