Atkin-Lehner |
2- 3+ 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650ce |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-941137920000000 = -1 · 219 · 33 · 57 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -1 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11062,1411031] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:827:1] |
Generators of the group modulo torsion |
j |
9580809274919/60232826880 |
j-invariant |
L |
8.2714209477046 |
L(r)(E,1)/r! |
Ω |
0.35970397131556 |
Real period |
R |
0.3025668193707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999667431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530r1 |
Quadratic twists by: 5 |