Atkin-Lehner |
2+ 5- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56950h |
Isogeny class |
Conductor |
56950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
74400 |
Modular degree for the optimal curve |
Δ |
-4449218750 = -1 · 2 · 59 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ -3 5- 4 -4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-367,4291] |
[a1,a2,a3,a4,a6] |
Generators |
[19:53:1] |
Generators of the group modulo torsion |
j |
-2803221/2278 |
j-invariant |
L |
2.1066517497116 |
L(r)(E,1)/r! |
Ω |
1.2644083609112 |
Real period |
R |
0.83305829615917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56950s1 |
Quadratic twists by: 5 |