Atkin-Lehner |
5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71995bc |
Isogeny class |
Conductor |
71995 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
617357125 = 53 · 74 · 112 · 17 |
Discriminant |
Eigenvalues |
-2 -1 5- 7- 11- 0 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-260,-1002] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:17:1] |
Generators of the group modulo torsion |
j |
16126038016/5102125 |
j-invariant |
L |
2.1944367406113 |
L(r)(E,1)/r! |
Ω |
1.2181736279456 |
Real period |
R |
0.15011795045239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71995s1 |
Quadratic twists by: -11 |