Atkin-Lehner |
3- 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
100725s |
Isogeny class |
Conductor |
100725 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
650496 |
Modular degree for the optimal curve |
Δ |
-501838075546875 = -1 · 314 · 57 · 17 · 79 |
Discriminant |
Eigenvalues |
-2 3- 5+ -4 2 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,12342,-935656] |
[a1,a2,a3,a4,a6] |
Generators |
[93:-1013:1] [78:712:1] |
Generators of the group modulo torsion |
j |
13305313857536/32117636835 |
j-invariant |
L |
6.328234987121 |
L(r)(E,1)/r! |
Ω |
0.27038217436921 |
Real period |
R |
0.41794247886842 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20145a1 |
Quadratic twists by: 5 |