Atkin-Lehner |
2- 3- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34968i |
Isogeny class |
Conductor |
34968 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
696817686528 = 211 · 35 · 313 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3888,-85536] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:18:1] |
Generators of the group modulo torsion |
j |
3174565009250/340243011 |
j-invariant |
L |
7.654913526628 |
L(r)(E,1)/r! |
Ω |
0.60878365565231 |
Real period |
R |
2.5148222872133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69936c1 104904e1 |
Quadratic twists by: -4 -3 |