Atkin-Lehner |
2- 5+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
67150p |
Isogeny class |
Conductor |
67150 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-26524250000000 = -1 · 27 · 59 · 17 · 792 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 2 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4912,209792] |
[a1,a2,a3,a4,a6] |
Generators |
[392:7704:1] |
Generators of the group modulo torsion |
j |
838828609991/1697552000 |
j-invariant |
L |
14.221067248031 |
L(r)(E,1)/r! |
Ω |
0.46190977986326 |
Real period |
R |
1.0995551101395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13430a1 |
Quadratic twists by: 5 |