Atkin-Lehner |
5- 13+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
104975l |
Isogeny class |
Conductor |
104975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
625920 |
Modular degree for the optimal curve |
Δ |
-21285012215952875 = -1 · 53 · 135 · 176 · 19 |
Discriminant |
Eigenvalues |
1 -1 5- -1 -6 13+ 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23010,-7156325] |
[a1,a2,a3,a4,a6] |
Generators |
[5942:154245:8] |
Generators of the group modulo torsion |
j |
-10779361720092701/170280097727623 |
j-invariant |
L |
2.5696068038096 |
L(r)(E,1)/r! |
Ω |
0.16421023399769 |
Real period |
R |
3.9120685877132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104975q1 |
Quadratic twists by: 5 |