Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69938o |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5728320 |
Modular degree for the optimal curve |
Δ |
-3.802886530107E+22 |
Discriminant |
Eigenvalues |
2- 2 0 2 11- -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5263563,10468425617] |
[a1,a2,a3,a4,a6] |
Generators |
[210514646919927:9602179931966390:118153930643] |
Generators of the group modulo torsion |
j |
-4515625/10648 |
j-invariant |
L |
15.107949085838 |
L(r)(E,1)/r! |
Ω |
0.10216605923174 |
Real period |
R |
24.646066739198 |
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 |
6358a1 69938u1 |
Quadratic twists by: -11 17 |