Atkin-Lehner |
2- 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43290bm |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-192208967917463250 = -1 · 2 · 312 · 53 · 134 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-224798,-46072753] |
[a1,a2,a3,a4,a6] |
Generators |
[7158:169577:8] |
Generators of the group modulo torsion |
j |
-1723342910011383961/263661135689250 |
j-invariant |
L |
7.8945129030023 |
L(r)(E,1)/r! |
Ω |
0.10871087378355 |
Real period |
R |
3.0258062158503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14430w1 |
Quadratic twists by: -3 |