Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400cn |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-711048375000000 = -1 · 26 · 39 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37125,3037500] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:1836:1] |
Generators of the group modulo torsion |
j |
-2299968/289 |
j-invariant |
L |
6.6027046234584 |
L(r)(E,1)/r! |
Ω |
0.49295863433228 |
Real period |
R |
3.3485084396553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000509 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400k1 122400p1 122400n1 |
Quadratic twists by: -4 -3 5 |