Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950cq |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-114751893375000000 = -1 · 26 · 33 · 59 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,30599,16169948] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:3251:1] |
Generators of the group modulo torsion |
j |
1723683599/62424000 |
j-invariant |
L |
6.1875021561791 |
L(r)(E,1)/r! |
Ω |
0.25130859138207 |
Real period |
R |
1.0258805396633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998639216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990bm1 2550d1 |
Quadratic twists by: 5 -7 |