Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
19600bx |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-6146560000000 = -1 · 215 · 57 · 74 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -3 -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,119188] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:336:1] [-12:350:1] |
Generators of the group modulo torsion |
j |
-49/40 |
j-invariant |
L |
5.2868115447417 |
L(r)(E,1)/r! |
Ω |
0.60990711406625 |
Real period |
R |
0.18058800207756 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450b1 78400gk1 3920r1 19600ct1 |
Quadratic twists by: -4 8 5 -7 |