Atkin-Lehner |
11+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67507g |
Isogeny class |
Conductor |
67507 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
213840 |
Modular degree for the optimal curve |
Δ |
-1064507149387 = -1 · 113 · 17 · 196 |
Discriminant |
Eigenvalues |
-2 0 4 -5 11+ -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2527,-8574] |
[a1,a2,a3,a4,a6] |
Generators |
[190:2707:1] |
Generators of the group modulo torsion |
j |
37933056/22627 |
j-invariant |
L |
2.4803705844769 |
L(r)(E,1)/r! |
Ω |
0.50993818580868 |
Real period |
R |
2.4320306407685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
187b1 |
Quadratic twists by: -19 |