Atkin-Lehner |
2- 3+ 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23370p |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-6364165140 = -1 · 22 · 35 · 5 · 19 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 6 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-281035,-57461203] |
[a1,a2,a3,a4,a6] |
Generators |
[142044295:722799268:226981] |
Generators of the group modulo torsion |
j |
-2454737398162535208241/6364165140 |
j-invariant |
L |
7.6121808714782 |
L(r)(E,1)/r! |
Ω |
0.1036762901308 |
Real period |
R |
12.237096932311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70110n1 116850bj1 |
Quadratic twists by: -3 5 |