Atkin-Lehner |
2+ 3- 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910t |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-27923659740 = -1 · 22 · 37 · 5 · 172 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -6 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,531,6385] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:77:1] |
Generators of the group modulo torsion |
j |
22689222191/38304060 |
j-invariant |
L |
2.9410706192329 |
L(r)(E,1)/r! |
Ω |
0.80952894848143 |
Real period |
R |
0.90826604358837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970n1 |
Quadratic twists by: -3 |