Atkin-Lehner |
2- 3- 5- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
107010x |
Isogeny class |
Conductor |
107010 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-72852943050 = -1 · 2 · 36 · 52 · 29 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1742,-30409] |
[a1,a2,a3,a4,a6] |
Generators |
[2100377214:24789265181:12812904] |
Generators of the group modulo torsion |
j |
-801506204569/99935450 |
j-invariant |
L |
11.260673912971 |
L(r)(E,1)/r! |
Ω |
0.36695070648277 |
Real period |
R |
15.343578488739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999823614 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11890a1 |
Quadratic twists by: -3 |