Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600by |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-44108290800000000 = -1 · 210 · 38 · 58 · 75 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63167,8026537] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:567:1] |
Generators of the group modulo torsion |
j |
69683121920/110270727 |
j-invariant |
L |
4.8926321298907 |
L(r)(E,1)/r! |
Ω |
0.24545767523342 |
Real period |
R |
1.9932691553596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600hb1 4200bf1 100800id1 33600ci1 |
Quadratic twists by: -4 8 -3 5 |