Atkin-Lehner |
2+ 3+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464i |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
59392 |
Modular degree for the optimal curve |
Δ |
-10303286448 = -1 · 24 · 3 · 74 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,317,4270] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:46:1] |
Generators of the group modulo torsion |
j |
219488000000/643955403 |
j-invariant |
L |
6.0489077662544 |
L(r)(E,1)/r! |
Ω |
0.90511360214143 |
Real period |
R |
1.6707592698303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003547 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50232h1 |
Quadratic twists by: -4 |