Atkin-Lehner |
2- 3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890ej |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
1118208 |
Modular degree for the optimal curve |
Δ |
-44927505263370240 = -1 · 213 · 38 · 5 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,22702,10106961] |
[a1,a2,a3,a4,a6] |
Generators |
[233:5175:1] |
Generators of the group modulo torsion |
j |
307908839/10690560 |
j-invariant |
L |
10.728599576263 |
L(r)(E,1)/r! |
Ω |
0.27153745886079 |
Real period |
R |
0.25327287864618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630m1 127890fx1 |
Quadratic twists by: -3 -7 |