Atkin-Lehner |
2+ 5- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970k |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
816480 |
Modular degree for the optimal curve |
Δ |
-6172349371496000 = -1 · 26 · 53 · 78 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17957,-3663194] |
[a1,a2,a3,a4,a6] |
Generators |
[13655:1588912:1] |
Generators of the group modulo torsion |
j |
111090137879/1070696000 |
j-invariant |
L |
6.6971844237694 |
L(r)(E,1)/r! |
Ω |
0.20959252541278 |
Real period |
R |
5.3255592258745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999969317 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
123970d1 |
Quadratic twists by: -7 |