Atkin-Lehner |
2- 7- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
105154q |
Isogeny class |
Conductor |
105154 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-1017665929174070512 = -1 · 24 · 79 · 292 · 374 |
Discriminant |
Eigenvalues |
2- 0 2 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,205031,32793961] |
[a1,a2,a3,a4,a6] |
Generators |
[1588806:60038533:5832] |
Generators of the group modulo torsion |
j |
8102071053045423/8650017672688 |
j-invariant |
L |
10.625570681871 |
L(r)(E,1)/r! |
Ω |
0.18373227624393 |
Real period |
R |
7.2289766366999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021524 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15022i1 |
Quadratic twists by: -7 |