Atkin-Lehner |
2- 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34440q |
Isogeny class |
Conductor |
34440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1763328 |
Modular degree for the optimal curve |
Δ |
-1.0552295699247E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-633351,-1574685504] |
[a1,a2,a3,a4,a6] |
Generators |
[143473:54343419:1] |
Generators of the group modulo torsion |
j |
-1756053718175067510784/65951848120293891315 |
j-invariant |
L |
4.695002290457 |
L(r)(E,1)/r! |
Ω |
0.067851177515834 |
Real period |
R |
11.532598407157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68880q1 103320t1 |
Quadratic twists by: -4 -3 |