Atkin-Lehner |
2- 3- 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674bq |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
21136707648 = 26 · 310 · 7 · 17 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1265,-15519] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:48:1] |
Generators of the group modulo torsion |
j |
306863943625/28994112 |
j-invariant |
L |
11.023421825832 |
L(r)(E,1)/r! |
Ω |
0.80543019564517 |
Real period |
R |
2.2810629383978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33558e1 |
Quadratic twists by: -3 |