Atkin-Lehner |
2+ 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
127512q |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-684512892234864 = -1 · 24 · 311 · 73 · 113 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ -5 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18537,800539] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:391:1] [-25:567:1] |
Generators of the group modulo torsion |
j |
60394105174784/58685947551 |
j-invariant |
L |
11.703814884202 |
L(r)(E,1)/r! |
Ω |
0.33495470942036 |
Real period |
R |
0.72794759974482 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42504z1 |
Quadratic twists by: -3 |