Atkin-Lehner |
2+ 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
112064g |
Isogeny class |
Conductor |
112064 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
853967126528 = 214 · 173 · 1032 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7100,225936] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:544:1] |
Generators of the group modulo torsion |
j |
2415899250000/52122017 |
j-invariant |
L |
6.3333016218774 |
L(r)(E,1)/r! |
Ω |
0.88916523366821 |
Real period |
R |
1.1871249889124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000204 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112064l1 14008d1 |
Quadratic twists by: -4 8 |