Atkin-Lehner |
2- 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
113398d |
Isogeny class |
Conductor |
113398 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-723265686208392832 = -1 · 27 · 317 · 593 |
Discriminant |
Eigenvalues |
2- 0 4 0 0 -2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-199588,53454919] |
[a1,a2,a3,a4,a6] |
Generators |
[659:14085:1] |
Generators of the group modulo torsion |
j |
-990728800209/814943872 |
j-invariant |
L |
13.239485943481 |
L(r)(E,1)/r! |
Ω |
0.26149313393293 |
Real period |
R |
1.8082263821488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3658b1 |
Quadratic twists by: -31 |