Atkin-Lehner |
2- 7- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
98294v |
Isogeny class |
Conductor |
98294 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-111062488500824 = -1 · 23 · 712 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 1 2 7- -2 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-169982,-26993380] |
[a1,a2,a3,a4,a6] |
Generators |
[6917880322370:98254505161885:11821188952] |
Generators of the group modulo torsion |
j |
-4616835877167697/944015576 |
j-invariant |
L |
14.269252539079 |
L(r)(E,1)/r! |
Ω |
0.11756105765654 |
Real period |
R |
20.229562441173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14042e1 |
Quadratic twists by: -7 |