Atkin-Lehner |
2- 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
124630q |
Isogeny class |
Conductor |
124630 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
-58390650560 = -1 · 26 · 5 · 116 · 103 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 11- 6 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1031,-17335] |
[a1,a2,a3,a4,a6] |
Generators |
[164:1975:1] |
Generators of the group modulo torsion |
j |
-68417929/32960 |
j-invariant |
L |
11.059605777026 |
L(r)(E,1)/r! |
Ω |
0.41178991166848 |
Real period |
R |
2.2381165544051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999621322 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1030a1 |
Quadratic twists by: -11 |