Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350db |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
-1692306224709632000 = -1 · 224 · 53 · 76 · 193 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -4 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,103140,-61302433] |
[a1,a2,a3,a4,a6] |
Generators |
[489:10045:1] |
Generators of the group modulo torsion |
j |
141526649406897/1973822685184 |
j-invariant |
L |
10.442241898196 |
L(r)(E,1)/r! |
Ω |
0.13015731663063 |
Real period |
R |
1.6714135634947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126350bm1 126350bb1 |
Quadratic twists by: 5 -19 |