Atkin-Lehner |
2- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57154m |
Isogeny class |
Conductor |
57154 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-44523943077578696 = -1 · 23 · 17 · 419 |
Discriminant |
Eigenvalues |
2- -1 -3 -2 3 7 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-104257,-16503993] |
[a1,a2,a3,a4,a6] |
Generators |
[3150:13779:8] |
Generators of the group modulo torsion |
j |
-26383748833/9373256 |
j-invariant |
L |
6.0834301967915 |
L(r)(E,1)/r! |
Ω |
0.13051517029827 |
Real period |
R |
7.7684841577338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1394g1 |
Quadratic twists by: 41 |